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Finding the Fourth Proportional to 1,749.67, 2,414.54 and 1,003.80

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Solution

The fourth proportional to 1,749.67, 2,414.54 and 1,003.80 is: 1,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.67 : 2,414.54 = 1,003.80 : x
  2. Step 2: Convert to fraction form
    1,749.67/2,414.54 = 1,003.80/x
  3. Step 3: Cross multiply
    1,749.67x = 2,414.54 × 1,003.80
  4. Step 4: Simplify right side
    1,749.67x = 2,423,726.82
  5. Step 5: Solve for x
    x = 2,423,726.82/1,749.67
  6. Step 6: Final answer
    x = 1,385.25

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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.