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Finding the Fourth Proportional to 2,581.59, 3,886.53 and 1,765.05

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Solution

The fourth proportional to 2,581.59, 3,886.53 and 1,765.05 is: 2,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.59 : 3,886.53 = 1,765.05 : x
  2. Step 2: Convert to fraction form
    2,581.59/3,886.53 = 1,765.05/x
  3. Step 3: Cross multiply
    2,581.59x = 3,886.53 × 1,765.05
  4. Step 4: Simplify right side
    2,581.59x = 6,859,919.78
  5. Step 5: Solve for x
    x = 6,859,919.78/2,581.59
  6. Step 6: Final answer
    x = 2,657.25

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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.