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Finding the Fourth Proportional to 3,101.99, 4,652.66 and 1,252.55

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Solution

The fourth proportional to 3,101.99, 4,652.66 and 1,252.55 is: 1,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.99 : 4,652.66 = 1,252.55 : x
  2. Step 2: Convert to fraction form
    3,101.99/4,652.66 = 1,252.55/x
  3. Step 3: Cross multiply
    3,101.99x = 4,652.66 × 1,252.55
  4. Step 4: Simplify right side
    3,101.99x = 5,827,659.76
  5. Step 5: Solve for x
    x = 5,827,659.76/3,101.99
  6. Step 6: Final answer
    x = 1,878.69

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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.