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Finding the Fourth Proportional to 2,931.61, 4,398.21 and 1,057.69

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Solution

The fourth proportional to 2,931.61, 4,398.21 and 1,057.69 is: 1,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.61 : 4,398.21 = 1,057.69 : x
  2. Step 2: Convert to fraction form
    2,931.61/4,398.21 = 1,057.69/x
  3. Step 3: Cross multiply
    2,931.61x = 4,398.21 × 1,057.69
  4. Step 4: Simplify right side
    2,931.61x = 4,651,942.73
  5. Step 5: Solve for x
    x = 4,651,942.73/2,931.61
  6. Step 6: Final answer
    x = 1,586.82

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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.