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Finding the Fourth Proportional to 1,542.39, 2,313.50 and 568.41

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Solution

The fourth proportional to 1,542.39, 2,313.50 and 568.41 is: 852.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.39 : 2,313.50 = 568.41 : x
  2. Step 2: Convert to fraction form
    1,542.39/2,313.50 = 568.41/x
  3. Step 3: Cross multiply
    1,542.39x = 2,313.50 × 568.41
  4. Step 4: Simplify right side
    1,542.39x = 1,315,005.02
  5. Step 5: Solve for x
    x = 1,315,005.02/1,542.39
  6. Step 6: Final answer
    x = 852.58

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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.