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Finding the Fourth Proportional to 2,494.71, 3,442.24 and 1,500.01

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Solution

The fourth proportional to 2,494.71, 3,442.24 and 1,500.01 is: 2,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.71 : 3,442.24 = 1,500.01 : x
  2. Step 2: Convert to fraction form
    2,494.71/3,442.24 = 1,500.01/x
  3. Step 3: Cross multiply
    2,494.71x = 3,442.24 × 1,500.01
  4. Step 4: Simplify right side
    2,494.71x = 5,163,394.42
  5. Step 5: Solve for x
    x = 5,163,394.42/2,494.71
  6. Step 6: Final answer
    x = 2,069.74

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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.