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Finding the Fourth Proportional to 2,494.48, 3,442.47 and 1,375.50

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Solution

The fourth proportional to 2,494.48, 3,442.47 and 1,375.50 is: 1,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.48 : 3,442.47 = 1,375.50 : x
  2. Step 2: Convert to fraction form
    2,494.48/3,442.47 = 1,375.50/x
  3. Step 3: Cross multiply
    2,494.48x = 3,442.47 × 1,375.50
  4. Step 4: Simplify right side
    2,494.48x = 4,735,117.49
  5. Step 5: Solve for x
    x = 4,735,117.49/2,494.48
  6. Step 6: Final answer
    x = 1,898.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.