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Finding the Fourth Proportional to 1,568.80, 2,358.42 and 1,109.87

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Solution

The fourth proportional to 1,568.80, 2,358.42 and 1,109.87 is: 1,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.80 : 2,358.42 = 1,109.87 : x
  2. Step 2: Convert to fraction form
    1,568.80/2,358.42 = 1,109.87/x
  3. Step 3: Cross multiply
    1,568.80x = 2,358.42 × 1,109.87
  4. Step 4: Simplify right side
    1,568.80x = 2,617,539.61
  5. Step 5: Solve for x
    x = 2,617,539.61/1,568.80
  6. Step 6: Final answer
    x = 1,668.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.