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Finding the Fourth Proportional to 2,378.65, 3,567.66 and 1,079.82

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Solution

The fourth proportional to 2,378.65, 3,567.66 and 1,079.82 is: 1,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.65 : 3,567.66 = 1,079.82 : x
  2. Step 2: Convert to fraction form
    2,378.65/3,567.66 = 1,079.82/x
  3. Step 3: Cross multiply
    2,378.65x = 3,567.66 × 1,079.82
  4. Step 4: Simplify right side
    2,378.65x = 3,852,430.62
  5. Step 5: Solve for x
    x = 3,852,430.62/2,378.65
  6. Step 6: Final answer
    x = 1,619.59

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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.