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Finding the Fourth Proportional to 1,460.61, 2,016.27 and 862.92

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Solution

The fourth proportional to 1,460.61, 2,016.27 and 862.92 is: 1,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.61 : 2,016.27 = 862.92 : x
  2. Step 2: Convert to fraction form
    1,460.61/2,016.27 = 862.92/x
  3. Step 3: Cross multiply
    1,460.61x = 2,016.27 × 862.92
  4. Step 4: Simplify right side
    1,460.61x = 1,739,879.71
  5. Step 5: Solve for x
    x = 1,739,879.71/1,460.61
  6. Step 6: Final answer
    x = 1,191.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.