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Finding the Fourth Proportional to 2,503.71, 3,454.07 and 1,758.15

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Solution

The fourth proportional to 2,503.71, 3,454.07 and 1,758.15 is: 2,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.71 : 3,454.07 = 1,758.15 : x
  2. Step 2: Convert to fraction form
    2,503.71/3,454.07 = 1,758.15/x
  3. Step 3: Cross multiply
    2,503.71x = 3,454.07 × 1,758.15
  4. Step 4: Simplify right side
    2,503.71x = 6,072,764.38
  5. Step 5: Solve for x
    x = 6,072,764.38/2,503.71
  6. Step 6: Final answer
    x = 2,425.51

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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.