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Finding the Fourth Proportional to 1,454.30, 2,182.81 and 761.46

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Solution

The fourth proportional to 1,454.30, 2,182.81 and 761.46 is: 1,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.30 : 2,182.81 = 761.46 : x
  2. Step 2: Convert to fraction form
    1,454.30/2,182.81 = 761.46/x
  3. Step 3: Cross multiply
    1,454.30x = 2,182.81 × 761.46
  4. Step 4: Simplify right side
    1,454.30x = 1,662,132.67
  5. Step 5: Solve for x
    x = 1,662,132.67/1,454.30
  6. Step 6: Final answer
    x = 1,142.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.