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Finding the Fourth Proportional to 1,750.34, 2,414.98 and 1,004.25

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Solution

The fourth proportional to 1,750.34, 2,414.98 and 1,004.25 is: 1,385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.34 : 2,414.98 = 1,004.25 : x
  2. Step 2: Convert to fraction form
    1,750.34/2,414.98 = 1,004.25/x
  3. Step 3: Cross multiply
    1,750.34x = 2,414.98 × 1,004.25
  4. Step 4: Simplify right side
    1,750.34x = 2,425,257.79
  5. Step 5: Solve for x
    x = 2,425,257.79/1,750.34
  6. Step 6: Final answer
    x = 1,385.59

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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.