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Finding the Fourth Proportional to 1,660.96, 2,290.82 and 1,031.13

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Solution

The fourth proportional to 1,660.96, 2,290.82 and 1,031.13 is: 1,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.96 : 2,290.82 = 1,031.13 : x
  2. Step 2: Convert to fraction form
    1,660.96/2,290.82 = 1,031.13/x
  3. Step 3: Cross multiply
    1,660.96x = 2,290.82 × 1,031.13
  4. Step 4: Simplify right side
    1,660.96x = 2,362,128.07
  5. Step 5: Solve for x
    x = 2,362,128.07/1,660.96
  6. Step 6: Final answer
    x = 1,422.15

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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.