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Finding the Fourth Proportional to 2,557.92, 3,840.72 and 2,434.38

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Solution

The fourth proportional to 2,557.92, 3,840.72 and 2,434.38 is: 3,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.92 : 3,840.72 = 2,434.38 : x
  2. Step 2: Convert to fraction form
    2,557.92/3,840.72 = 2,434.38/x
  3. Step 3: Cross multiply
    2,557.92x = 3,840.72 × 2,434.38
  4. Step 4: Simplify right side
    2,557.92x = 9,349,771.95
  5. Step 5: Solve for x
    x = 9,349,771.95/2,557.92
  6. Step 6: Final answer
    x = 3,655.22

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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.