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Finding the Fourth Proportional to 1,689,971.80, 2,534,957.70 and 1,018,125.40

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Solution

The fourth proportional to 1,689,971.80, 2,534,957.70 and 1,018,125.40 is: 1,527,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,971.80 : 2,534,957.70 = 1,018,125.40 : x
  2. Step 2: Convert to fraction form
    1,689,971.80/2,534,957.70 = 1,018,125.40/x
  3. Step 3: Cross multiply
    1,689,971.80x = 2,534,957.70 × 1,018,125.40
  4. Step 4: Simplify right side
    1,689,971.80x = 2,580,904,822,295.58
  5. Step 5: Solve for x
    x = 2,580,904,822,295.58/1,689,971.80
  6. Step 6: Final answer
    x = 1,527,188.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.