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Finding the Fourth Proportional to 1,662.31, 2,290.44 and 1,510.44

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Solution

The fourth proportional to 1,662.31, 2,290.44 and 1,510.44 is: 2,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.31 : 2,290.44 = 1,510.44 : x
  2. Step 2: Convert to fraction form
    1,662.31/2,290.44 = 1,510.44/x
  3. Step 3: Cross multiply
    1,662.31x = 2,290.44 × 1,510.44
  4. Step 4: Simplify right side
    1,662.31x = 3,459,560.74
  5. Step 5: Solve for x
    x = 3,459,560.74/1,662.31
  6. Step 6: Final answer
    x = 2,081.18

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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.