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Finding the Fourth Proportional to 1,516.80, 2,275.21 and 421.25

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Solution

The fourth proportional to 1,516.80, 2,275.21 and 421.25 is: 631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.80 : 2,275.21 = 421.25 : x
  2. Step 2: Convert to fraction form
    1,516.80/2,275.21 = 421.25/x
  3. Step 3: Cross multiply
    1,516.80x = 2,275.21 × 421.25
  4. Step 4: Simplify right side
    1,516.80x = 958,423.97
  5. Step 5: Solve for x
    x = 958,423.97/1,516.80
  6. Step 6: Final answer
    x = 631.87

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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.