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Finding the Fourth Proportional to 1,750.30, 2,414.77 and 1,003.78

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Solution

The fourth proportional to 1,750.30, 2,414.77 and 1,003.78 is: 1,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.30 : 2,414.77 = 1,003.78 : x
  2. Step 2: Convert to fraction form
    1,750.30/2,414.77 = 1,003.78/x
  3. Step 3: Cross multiply
    1,750.30x = 2,414.77 × 1,003.78
  4. Step 4: Simplify right side
    1,750.30x = 2,423,897.83
  5. Step 5: Solve for x
    x = 2,423,897.83/1,750.30
  6. Step 6: Final answer
    x = 1,384.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.