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Finding the Fourth Proportional to 2,497.54, 3,742.18 and 2,239.99

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Solution

The fourth proportional to 2,497.54, 3,742.18 and 2,239.99 is: 3,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.54 : 3,742.18 = 2,239.99 : x
  2. Step 2: Convert to fraction form
    2,497.54/3,742.18 = 2,239.99/x
  3. Step 3: Cross multiply
    2,497.54x = 3,742.18 × 2,239.99
  4. Step 4: Simplify right side
    2,497.54x = 8,382,449.53
  5. Step 5: Solve for x
    x = 8,382,449.53/2,497.54
  6. Step 6: Final answer
    x = 3,356.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.