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Finding the Fourth Proportional to 2,349.76, 3,242.24 and 1,417.92

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Solution

The fourth proportional to 2,349.76, 3,242.24 and 1,417.92 is: 1,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.76 : 3,242.24 = 1,417.92 : x
  2. Step 2: Convert to fraction form
    2,349.76/3,242.24 = 1,417.92/x
  3. Step 3: Cross multiply
    2,349.76x = 3,242.24 × 1,417.92
  4. Step 4: Simplify right side
    2,349.76x = 4,597,236.94
  5. Step 5: Solve for x
    x = 4,597,236.94/2,349.76
  6. Step 6: Final answer
    x = 1,956.47

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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.