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Finding the Fourth Proportional to 1,568, 2,159.88 and 1,174.52

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Solution

The fourth proportional to 1,568, 2,159.88 and 1,174.52 is: 1,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568 : 2,159.88 = 1,174.52 : x
  2. Step 2: Convert to fraction form
    1,568/2,159.88 = 1,174.52/x
  3. Step 3: Cross multiply
    1,568x = 2,159.88 × 1,174.52
  4. Step 4: Simplify right side
    1,568x = 2,536,822.26
  5. Step 5: Solve for x
    x = 2,536,822.26/1,568
  6. Step 6: Final answer
    x = 1,617.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.