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Finding the Fourth Proportional to 1,454.81, 2,182.27 and 577.48

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Solution

The fourth proportional to 1,454.81, 2,182.27 and 577.48 is: 866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.81 : 2,182.27 = 577.48 : x
  2. Step 2: Convert to fraction form
    1,454.81/2,182.27 = 577.48/x
  3. Step 3: Cross multiply
    1,454.81x = 2,182.27 × 577.48
  4. Step 4: Simplify right side
    1,454.81x = 1,260,210.38
  5. Step 5: Solve for x
    x = 1,260,210.38/1,454.81
  6. Step 6: Final answer
    x = 866.24

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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.