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Finding the Fourth Proportional to 2,503.48, 3,754.08 and 1,041.76

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Solution

The fourth proportional to 2,503.48, 3,754.08 and 1,041.76 is: 1,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.48 : 3,754.08 = 1,041.76 : x
  2. Step 2: Convert to fraction form
    2,503.48/3,754.08 = 1,041.76/x
  3. Step 3: Cross multiply
    2,503.48x = 3,754.08 × 1,041.76
  4. Step 4: Simplify right side
    2,503.48x = 3,910,850.38
  5. Step 5: Solve for x
    x = 3,910,850.38/2,503.48
  6. Step 6: Final answer
    x = 1,562.17

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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.