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Finding the Fourth Proportional to 2,577.89, 3,866.79 and 630.10

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Solution

The fourth proportional to 2,577.89, 3,866.79 and 630.10 is: 945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.89 : 3,866.79 = 630.10 : x
  2. Step 2: Convert to fraction form
    2,577.89/3,866.79 = 630.10/x
  3. Step 3: Cross multiply
    2,577.89x = 3,866.79 × 630.10
  4. Step 4: Simplify right side
    2,577.89x = 2,436,446.28
  5. Step 5: Solve for x
    x = 2,436,446.28/2,577.89
  6. Step 6: Final answer
    x = 945.13

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