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Finding the Fourth Proportional to 1,520.34, 2,276.83 and 869.10

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Solution

The fourth proportional to 1,520.34, 2,276.83 and 869.10 is: 1,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.34 : 2,276.83 = 869.10 : x
  2. Step 2: Convert to fraction form
    1,520.34/2,276.83 = 869.10/x
  3. Step 3: Cross multiply
    1,520.34x = 2,276.83 × 869.10
  4. Step 4: Simplify right side
    1,520.34x = 1,978,792.95
  5. Step 5: Solve for x
    x = 1,978,792.95/1,520.34
  6. Step 6: Final answer
    x = 1,301.55

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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.