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Finding the Fourth Proportional to 1,422.65, 2,134.08 and 545.57

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Solution

The fourth proportional to 1,422.65, 2,134.08 and 545.57 is: 818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.65 : 2,134.08 = 545.57 : x
  2. Step 2: Convert to fraction form
    1,422.65/2,134.08 = 545.57/x
  3. Step 3: Cross multiply
    1,422.65x = 2,134.08 × 545.57
  4. Step 4: Simplify right side
    1,422.65x = 1,164,287.36
  5. Step 5: Solve for x
    x = 1,164,287.36/1,422.65
  6. Step 6: Final answer
    x = 818.40

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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.