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Finding the Fourth Proportional to 1,462.18, 2,017.28 and 864.54

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Solution

The fourth proportional to 1,462.18, 2,017.28 and 864.54 is: 1,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.18 : 2,017.28 = 864.54 : x
  2. Step 2: Convert to fraction form
    1,462.18/2,017.28 = 864.54/x
  3. Step 3: Cross multiply
    1,462.18x = 2,017.28 × 864.54
  4. Step 4: Simplify right side
    1,462.18x = 1,744,019.25
  5. Step 5: Solve for x
    x = 1,744,019.25/1,462.18
  6. Step 6: Final answer
    x = 1,192.75

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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.