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Finding the Fourth Proportional to 2,453.62, 3,678.36 and 1,065.91

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Solution

The fourth proportional to 2,453.62, 3,678.36 and 1,065.91 is: 1,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.62 : 3,678.36 = 1,065.91 : x
  2. Step 2: Convert to fraction form
    2,453.62/3,678.36 = 1,065.91/x
  3. Step 3: Cross multiply
    2,453.62x = 3,678.36 × 1,065.91
  4. Step 4: Simplify right side
    2,453.62x = 3,920,800.71
  5. Step 5: Solve for x
    x = 3,920,800.71/2,453.62
  6. Step 6: Final answer
    x = 1,597.97

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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.