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Finding the Fourth Proportional to 2,452.68, 3,676.19 and 1,065.76

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Solution

The fourth proportional to 2,452.68, 3,676.19 and 1,065.76 is: 1,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.68 : 3,676.19 = 1,065.76 : x
  2. Step 2: Convert to fraction form
    2,452.68/3,676.19 = 1,065.76/x
  3. Step 3: Cross multiply
    2,452.68x = 3,676.19 × 1,065.76
  4. Step 4: Simplify right side
    2,452.68x = 3,917,921.74
  5. Step 5: Solve for x
    x = 3,917,921.74/2,452.68
  6. Step 6: Final answer
    x = 1,597.40

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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.