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Finding the Fourth Proportional to 2,902.64, 4,332.69 and 2,494.40

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Solution

The fourth proportional to 2,902.64, 4,332.69 and 2,494.40 is: 3,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.64 : 4,332.69 = 2,494.40 : x
  2. Step 2: Convert to fraction form
    2,902.64/4,332.69 = 2,494.40/x
  3. Step 3: Cross multiply
    2,902.64x = 4,332.69 × 2,494.40
  4. Step 4: Simplify right side
    2,902.64x = 10,807,440.27
  5. Step 5: Solve for x
    x = 10,807,440.27/2,902.64
  6. Step 6: Final answer
    x = 3,723.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.