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Finding the Fourth Proportional to 2,931.67, 4,393.76 and 1,471.24

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Solution

The fourth proportional to 2,931.67, 4,393.76 and 1,471.24 is: 2,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.67 : 4,393.76 = 1,471.24 : x
  2. Step 2: Convert to fraction form
    2,931.67/4,393.76 = 1,471.24/x
  3. Step 3: Cross multiply
    2,931.67x = 4,393.76 × 1,471.24
  4. Step 4: Simplify right side
    2,931.67x = 6,464,257.12
  5. Step 5: Solve for x
    x = 6,464,257.12/2,931.67
  6. Step 6: Final answer
    x = 2,204.98

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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.