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Finding the Fourth Proportional to 1,422.61, 2,134.07 and 545.11

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Solution

The fourth proportional to 1,422.61, 2,134.07 and 545.11 is: 817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.61 : 2,134.07 = 545.11 : x
  2. Step 2: Convert to fraction form
    1,422.61/2,134.07 = 545.11/x
  3. Step 3: Cross multiply
    1,422.61x = 2,134.07 × 545.11
  4. Step 4: Simplify right side
    1,422.61x = 1,163,302.90
  5. Step 5: Solve for x
    x = 1,163,302.90/1,422.61
  6. Step 6: Final answer
    x = 817.72

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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.