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Finding the Fourth Proportional to 3,130.38, 4,319.99 and 1,733.14

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Solution

The fourth proportional to 3,130.38, 4,319.99 and 1,733.14 is: 2,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.38 : 4,319.99 = 1,733.14 : x
  2. Step 2: Convert to fraction form
    3,130.38/4,319.99 = 1,733.14/x
  3. Step 3: Cross multiply
    3,130.38x = 4,319.99 × 1,733.14
  4. Step 4: Simplify right side
    3,130.38x = 7,487,147.47
  5. Step 5: Solve for x
    x = 7,487,147.47/3,130.38
  6. Step 6: Final answer
    x = 2,391.77

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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.