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Finding the Fourth Proportional to 2,279.90, 3,419.85 and 1,510.40

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Solution

The fourth proportional to 2,279.90, 3,419.85 and 1,510.40 is: 2,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.90 : 3,419.85 = 1,510.40 : x
  2. Step 2: Convert to fraction form
    2,279.90/3,419.85 = 1,510.40/x
  3. Step 3: Cross multiply
    2,279.90x = 3,419.85 × 1,510.40
  4. Step 4: Simplify right side
    2,279.90x = 5,165,341.44
  5. Step 5: Solve for x
    x = 5,165,341.44/2,279.90
  6. Step 6: Final answer
    x = 2,265.60

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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.