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Finding the Fourth Proportional to 1,931.61, 2,896.31 and 615.11

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Solution

The fourth proportional to 1,931.61, 2,896.31 and 615.11 is: 922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.61 : 2,896.31 = 615.11 : x
  2. Step 2: Convert to fraction form
    1,931.61/2,896.31 = 615.11/x
  3. Step 3: Cross multiply
    1,931.61x = 2,896.31 × 615.11
  4. Step 4: Simplify right side
    1,931.61x = 1,781,536.30
  5. Step 5: Solve for x
    x = 1,781,536.30/1,931.61
  6. Step 6: Final answer
    x = 922.31

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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.