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Finding the Fourth Proportional to 1,412.73, 2,116.95 and 864.15

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Solution

The fourth proportional to 1,412.73, 2,116.95 and 864.15 is: 1,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.73 : 2,116.95 = 864.15 : x
  2. Step 2: Convert to fraction form
    1,412.73/2,116.95 = 864.15/x
  3. Step 3: Cross multiply
    1,412.73x = 2,116.95 × 864.15
  4. Step 4: Simplify right side
    1,412.73x = 1,829,362.34
  5. Step 5: Solve for x
    x = 1,829,362.34/1,412.73
  6. Step 6: Final answer
    x = 1,294.91

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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.