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Finding the Fourth Proportional to 2,715.39, 3,743.95 and 2,295

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Solution

The fourth proportional to 2,715.39, 3,743.95 and 2,295 is: 3,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.39 : 3,743.95 = 2,295 : x
  2. Step 2: Convert to fraction form
    2,715.39/3,743.95 = 2,295/x
  3. Step 3: Cross multiply
    2,715.39x = 3,743.95 × 2,295
  4. Step 4: Simplify right side
    2,715.39x = 8,592,365.25
  5. Step 5: Solve for x
    x = 8,592,365.25/2,715.39
  6. Step 6: Final answer
    x = 3,164.32

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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.