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Finding the Fourth Proportional to 2,503.40, 3,456.07 and 1,665.25

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Solution

The fourth proportional to 2,503.40, 3,456.07 and 1,665.25 is: 2,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.40 : 3,456.07 = 1,665.25 : x
  2. Step 2: Convert to fraction form
    2,503.40/3,456.07 = 1,665.25/x
  3. Step 3: Cross multiply
    2,503.40x = 3,456.07 × 1,665.25
  4. Step 4: Simplify right side
    2,503.40x = 5,755,207.76
  5. Step 5: Solve for x
    x = 5,755,207.76/2,503.40
  6. Step 6: Final answer
    x = 2,298.96

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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.