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Finding the Fourth Proportional to 2,503.58, 3,754.28 and 963.50

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Solution

The fourth proportional to 2,503.58, 3,754.28 and 963.50 is: 1,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.58 : 3,754.28 = 963.50 : x
  2. Step 2: Convert to fraction form
    2,503.58/3,754.28 = 963.50/x
  3. Step 3: Cross multiply
    2,503.58x = 3,754.28 × 963.50
  4. Step 4: Simplify right side
    2,503.58x = 3,617,248.78
  5. Step 5: Solve for x
    x = 3,617,248.78/2,503.58
  6. Step 6: Final answer
    x = 1,444.83

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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.