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Finding the Fourth Proportional to 2,931.60, 4,400.03 and 1,471.57

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Solution

The fourth proportional to 2,931.60, 4,400.03 and 1,471.57 is: 2,208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.60 : 4,400.03 = 1,471.57 : x
  2. Step 2: Convert to fraction form
    2,931.60/4,400.03 = 1,471.57/x
  3. Step 3: Cross multiply
    2,931.60x = 4,400.03 × 1,471.57
  4. Step 4: Simplify right side
    2,931.60x = 6,474,952.15
  5. Step 5: Solve for x
    x = 6,474,952.15/2,931.60
  6. Step 6: Final answer
    x = 2,208.68

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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.