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Finding the Fourth Proportional to 1,660.72, 2,292.75 and 1,101.95

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Solution

The fourth proportional to 1,660.72, 2,292.75 and 1,101.95 is: 1,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.72 : 2,292.75 = 1,101.95 : x
  2. Step 2: Convert to fraction form
    1,660.72/2,292.75 = 1,101.95/x
  3. Step 3: Cross multiply
    1,660.72x = 2,292.75 × 1,101.95
  4. Step 4: Simplify right side
    1,660.72x = 2,526,495.86
  5. Step 5: Solve for x
    x = 2,526,495.86/1,660.72
  6. Step 6: Final answer
    x = 1,521.33

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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.