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Finding the Fourth Proportional to 1,654.64, 2,478.30 and 1,216.65

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Solution

The fourth proportional to 1,654.64, 2,478.30 and 1,216.65 is: 1,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.64 : 2,478.30 = 1,216.65 : x
  2. Step 2: Convert to fraction form
    1,654.64/2,478.30 = 1,216.65/x
  3. Step 3: Cross multiply
    1,654.64x = 2,478.30 × 1,216.65
  4. Step 4: Simplify right side
    1,654.64x = 3,015,223.70
  5. Step 5: Solve for x
    x = 3,015,223.70/1,654.64
  6. Step 6: Final answer
    x = 1,822.29

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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.