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Finding the Fourth Proportional to 2,127.09, 3,191.04 and 665.94

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Solution

The fourth proportional to 2,127.09, 3,191.04 and 665.94 is: 999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.09 : 3,191.04 = 665.94 : x
  2. Step 2: Convert to fraction form
    2,127.09/3,191.04 = 665.94/x
  3. Step 3: Cross multiply
    2,127.09x = 3,191.04 × 665.94
  4. Step 4: Simplify right side
    2,127.09x = 2,125,041.18
  5. Step 5: Solve for x
    x = 2,125,041.18/2,127.09
  6. Step 6: Final answer
    x = 999.04

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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.