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Finding the Fourth Proportional to 2,737.78, 4,104.23 and 1,006.00

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Solution

The fourth proportional to 2,737.78, 4,104.23 and 1,006.00 is: 1,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.78 : 4,104.23 = 1,006.00 : x
  2. Step 2: Convert to fraction form
    2,737.78/4,104.23 = 1,006.00/x
  3. Step 3: Cross multiply
    2,737.78x = 4,104.23 × 1,006.00
  4. Step 4: Simplify right side
    2,737.78x = 4,128,840.09
  5. Step 5: Solve for x
    x = 4,128,840.09/2,737.78
  6. Step 6: Final answer
    x = 1,508.10

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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.