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Finding the Fourth Proportional to 2,061.58, 3,091 and 1,330.75

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Solution

The fourth proportional to 2,061.58, 3,091 and 1,330.75 is: 1,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.58 : 3,091 = 1,330.75 : x
  2. Step 2: Convert to fraction form
    2,061.58/3,091 = 1,330.75/x
  3. Step 3: Cross multiply
    2,061.58x = 3,091 × 1,330.75
  4. Step 4: Simplify right side
    2,061.58x = 4,113,348.25
  5. Step 5: Solve for x
    x = 4,113,348.25/2,061.58
  6. Step 6: Final answer
    x = 1,995.24

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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.