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Finding the Fourth Proportional to 1,606.66, 2,422.40 and 1,285.90

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Solution

The fourth proportional to 1,606.66, 2,422.40 and 1,285.90 is: 1,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.66 : 2,422.40 = 1,285.90 : x
  2. Step 2: Convert to fraction form
    1,606.66/2,422.40 = 1,285.90/x
  3. Step 3: Cross multiply
    1,606.66x = 2,422.40 × 1,285.90
  4. Step 4: Simplify right side
    1,606.66x = 3,114,964.16
  5. Step 5: Solve for x
    x = 3,114,964.16/1,606.66
  6. Step 6: Final answer
    x = 1,938.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.