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Finding the Fourth Proportional to 2,931.64, 4,397.46 and 1,200.28

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Solution

The fourth proportional to 2,931.64, 4,397.46 and 1,200.28 is: 1,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.64 : 4,397.46 = 1,200.28 : x
  2. Step 2: Convert to fraction form
    2,931.64/4,397.46 = 1,200.28/x
  3. Step 3: Cross multiply
    2,931.64x = 4,397.46 × 1,200.28
  4. Step 4: Simplify right side
    2,931.64x = 5,278,183.29
  5. Step 5: Solve for x
    x = 5,278,183.29/2,931.64
  6. Step 6: Final answer
    x = 1,800.42

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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.