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Finding the Fourth Proportional to 2,452.58, 3,678.84 and 1,065.72

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Solution

The fourth proportional to 2,452.58, 3,678.84 and 1,065.72 is: 1,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.58 : 3,678.84 = 1,065.72 : x
  2. Step 2: Convert to fraction form
    2,452.58/3,678.84 = 1,065.72/x
  3. Step 3: Cross multiply
    2,452.58x = 3,678.84 × 1,065.72
  4. Step 4: Simplify right side
    2,452.58x = 3,920,613.36
  5. Step 5: Solve for x
    x = 3,920,613.36/2,452.58
  6. Step 6: Final answer
    x = 1,598.57

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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.