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Finding the Fourth Proportional to 1,877.31, 2,587.14 and 1,792.26

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Solution

The fourth proportional to 1,877.31, 2,587.14 and 1,792.26 is: 2,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.31 : 2,587.14 = 1,792.26 : x
  2. Step 2: Convert to fraction form
    1,877.31/2,587.14 = 1,792.26/x
  3. Step 3: Cross multiply
    1,877.31x = 2,587.14 × 1,792.26
  4. Step 4: Simplify right side
    1,877.31x = 4,636,827.54
  5. Step 5: Solve for x
    x = 4,636,827.54/1,877.31
  6. Step 6: Final answer
    x = 2,469.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.