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Finding the Fourth Proportional to 2,490.84, 3,438.54 and 1,442.52

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Solution

The fourth proportional to 2,490.84, 3,438.54 and 1,442.52 is: 1,991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.84 : 3,438.54 = 1,442.52 : x
  2. Step 2: Convert to fraction form
    2,490.84/3,438.54 = 1,442.52/x
  3. Step 3: Cross multiply
    2,490.84x = 3,438.54 × 1,442.52
  4. Step 4: Simplify right side
    2,490.84x = 4,960,162.72
  5. Step 5: Solve for x
    x = 4,960,162.72/2,490.84
  6. Step 6: Final answer
    x = 1,991.36

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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.