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Finding the Fourth Proportional to 2,434.68, 3,358.80 and 1,874.16

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Solution

The fourth proportional to 2,434.68, 3,358.80 and 1,874.16 is: 2,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.68 : 3,358.80 = 1,874.16 : x
  2. Step 2: Convert to fraction form
    2,434.68/3,358.80 = 1,874.16/x
  3. Step 3: Cross multiply
    2,434.68x = 3,358.80 × 1,874.16
  4. Step 4: Simplify right side
    2,434.68x = 6,294,928.61
  5. Step 5: Solve for x
    x = 6,294,928.61/2,434.68
  6. Step 6: Final answer
    x = 2,585.53

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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.