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Finding the Fourth Proportional to 1,518.29, 2,276.68 and 738.34

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Solution

The fourth proportional to 1,518.29, 2,276.68 and 738.34 is: 1,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.29 : 2,276.68 = 738.34 : x
  2. Step 2: Convert to fraction form
    1,518.29/2,276.68 = 738.34/x
  3. Step 3: Cross multiply
    1,518.29x = 2,276.68 × 738.34
  4. Step 4: Simplify right side
    1,518.29x = 1,680,966.24
  5. Step 5: Solve for x
    x = 1,680,966.24/1,518.29
  6. Step 6: Final answer
    x = 1,107.14

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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.