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Finding the Fourth Proportional to 2,279.52, 3,145.70 and 1,284.89

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Solution

The fourth proportional to 2,279.52, 3,145.70 and 1,284.89 is: 1,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.52 : 3,145.70 = 1,284.89 : x
  2. Step 2: Convert to fraction form
    2,279.52/3,145.70 = 1,284.89/x
  3. Step 3: Cross multiply
    2,279.52x = 3,145.70 × 1,284.89
  4. Step 4: Simplify right side
    2,279.52x = 4,041,878.47
  5. Step 5: Solve for x
    x = 4,041,878.47/2,279.52
  6. Step 6: Final answer
    x = 1,773.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.