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Finding the Fourth Proportional to 2,358, 3,542.22 and 1,537.56

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Solution

The fourth proportional to 2,358, 3,542.22 and 1,537.56 is: 2,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358 : 3,542.22 = 1,537.56 : x
  2. Step 2: Convert to fraction form
    2,358/3,542.22 = 1,537.56/x
  3. Step 3: Cross multiply
    2,358x = 3,542.22 × 1,537.56
  4. Step 4: Simplify right side
    2,358x = 5,446,375.78
  5. Step 5: Solve for x
    x = 5,446,375.78/2,358
  6. Step 6: Final answer
    x = 2,309.74

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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.