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Finding the Fourth Proportional to 3,242.70, 4,860.57 and 1,681.14

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Solution

The fourth proportional to 3,242.70, 4,860.57 and 1,681.14 is: 2,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.70 : 4,860.57 = 1,681.14 : x
  2. Step 2: Convert to fraction form
    3,242.70/4,860.57 = 1,681.14/x
  3. Step 3: Cross multiply
    3,242.70x = 4,860.57 × 1,681.14
  4. Step 4: Simplify right side
    3,242.70x = 8,171,298.65
  5. Step 5: Solve for x
    x = 8,171,298.65/3,242.70
  6. Step 6: Final answer
    x = 2,519.91

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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.