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Finding the Fourth Proportional to 2,515.83, 3,758.84 and 2,429.70

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Solution

The fourth proportional to 2,515.83, 3,758.84 and 2,429.70 is: 3,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.83 : 3,758.84 = 2,429.70 : x
  2. Step 2: Convert to fraction form
    2,515.83/3,758.84 = 2,429.70/x
  3. Step 3: Cross multiply
    2,515.83x = 3,758.84 × 2,429.70
  4. Step 4: Simplify right side
    2,515.83x = 9,132,853.55
  5. Step 5: Solve for x
    x = 9,132,853.55/2,515.83
  6. Step 6: Final answer
    x = 3,630.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.