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Finding the Fourth Proportional to 1,568.62, 2,351.54 and 595.41

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Solution

The fourth proportional to 1,568.62, 2,351.54 and 595.41 is: 892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.62 : 2,351.54 = 595.41 : x
  2. Step 2: Convert to fraction form
    1,568.62/2,351.54 = 595.41/x
  3. Step 3: Cross multiply
    1,568.62x = 2,351.54 × 595.41
  4. Step 4: Simplify right side
    1,568.62x = 1,400,115.70
  5. Step 5: Solve for x
    x = 1,400,115.70/1,568.62
  6. Step 6: Final answer
    x = 892.58

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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.