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Finding the Fourth Proportional to 3,097.95, 4,275.18 and 1,839.63

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Solution

The fourth proportional to 3,097.95, 4,275.18 and 1,839.63 is: 2,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.95 : 4,275.18 = 1,839.63 : x
  2. Step 2: Convert to fraction form
    3,097.95/4,275.18 = 1,839.63/x
  3. Step 3: Cross multiply
    3,097.95x = 4,275.18 × 1,839.63
  4. Step 4: Simplify right side
    3,097.95x = 7,864,749.38
  5. Step 5: Solve for x
    x = 7,864,749.38/3,097.95
  6. Step 6: Final answer
    x = 2,538.69

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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.