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Finding the Fourth Proportional to 2,503.24, 3,754.88 and 654.50

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Solution

The fourth proportional to 2,503.24, 3,754.88 and 654.50 is: 981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.24 : 3,754.88 = 654.50 : x
  2. Step 2: Convert to fraction form
    2,503.24/3,754.88 = 654.50/x
  3. Step 3: Cross multiply
    2,503.24x = 3,754.88 × 654.50
  4. Step 4: Simplify right side
    2,503.24x = 2,457,568.96
  5. Step 5: Solve for x
    x = 2,457,568.96/2,503.24
  6. Step 6: Final answer
    x = 981.76

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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.