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Finding the Fourth Proportional to 1,281.89, 1,921.12 and 972.81

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Solution

The fourth proportional to 1,281.89, 1,921.12 and 972.81 is: 1,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.89 : 1,921.12 = 972.81 : x
  2. Step 2: Convert to fraction form
    1,281.89/1,921.12 = 972.81/x
  3. Step 3: Cross multiply
    1,281.89x = 1,921.12 × 972.81
  4. Step 4: Simplify right side
    1,281.89x = 1,868,882.32
  5. Step 5: Solve for x
    x = 1,868,882.32/1,281.89
  6. Step 6: Final answer
    x = 1,457.91

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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.