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Finding the Fourth Proportional to 2,442.40, 3,660.96 and 903.28

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Solution

The fourth proportional to 2,442.40, 3,660.96 and 903.28 is: 1,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.40 : 3,660.96 = 903.28 : x
  2. Step 2: Convert to fraction form
    2,442.40/3,660.96 = 903.28/x
  3. Step 3: Cross multiply
    2,442.40x = 3,660.96 × 903.28
  4. Step 4: Simplify right side
    2,442.40x = 3,306,871.95
  5. Step 5: Solve for x
    x = 3,306,871.95/2,442.40
  6. Step 6: Final answer
    x = 1,353.94

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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.