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Finding the Fourth Proportional to 1,557.93, 2,337.32 and 518.10

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Solution

The fourth proportional to 1,557.93, 2,337.32 and 518.10 is: 777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.93 : 2,337.32 = 518.10 : x
  2. Step 2: Convert to fraction form
    1,557.93/2,337.32 = 518.10/x
  3. Step 3: Cross multiply
    1,557.93x = 2,337.32 × 518.10
  4. Step 4: Simplify right side
    1,557.93x = 1,210,962.90
  5. Step 5: Solve for x
    x = 1,210,962.90/1,557.93
  6. Step 6: Final answer
    x = 777.29

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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.