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Finding the Fourth Proportional to 1,445.76, 2,166.72 and 868.80

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Solution

The fourth proportional to 1,445.76, 2,166.72 and 868.80 is: 1,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.76 : 2,166.72 = 868.80 : x
  2. Step 2: Convert to fraction form
    1,445.76/2,166.72 = 868.80/x
  3. Step 3: Cross multiply
    1,445.76x = 2,166.72 × 868.80
  4. Step 4: Simplify right side
    1,445.76x = 1,882,446.34
  5. Step 5: Solve for x
    x = 1,882,446.34/1,445.76
  6. Step 6: Final answer
    x = 1,302.05

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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.