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Finding the Fourth Proportional to 1,654.86, 2,480.56 and 1,215.46

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Solution

The fourth proportional to 1,654.86, 2,480.56 and 1,215.46 is: 1,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.86 : 2,480.56 = 1,215.46 : x
  2. Step 2: Convert to fraction form
    1,654.86/2,480.56 = 1,215.46/x
  3. Step 3: Cross multiply
    1,654.86x = 2,480.56 × 1,215.46
  4. Step 4: Simplify right side
    1,654.86x = 3,015,012.22
  5. Step 5: Solve for x
    x = 3,015,012.22/1,654.86
  6. Step 6: Final answer
    x = 1,821.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.