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Finding the Fourth Proportional to 1,921.27, 2,881.95 and 688.06

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Solution

The fourth proportional to 1,921.27, 2,881.95 and 688.06 is: 1,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.27 : 2,881.95 = 688.06 : x
  2. Step 2: Convert to fraction form
    1,921.27/2,881.95 = 688.06/x
  3. Step 3: Cross multiply
    1,921.27x = 2,881.95 × 688.06
  4. Step 4: Simplify right side
    1,921.27x = 1,982,954.52
  5. Step 5: Solve for x
    x = 1,982,954.52/1,921.27
  6. Step 6: Final answer
    x = 1,032.11

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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.