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Finding the Fourth Proportional to 2,605.38, 3,595.42 and 1,426.47

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Solution

The fourth proportional to 2,605.38, 3,595.42 and 1,426.47 is: 1,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.38 : 3,595.42 = 1,426.47 : x
  2. Step 2: Convert to fraction form
    2,605.38/3,595.42 = 1,426.47/x
  3. Step 3: Cross multiply
    2,605.38x = 3,595.42 × 1,426.47
  4. Step 4: Simplify right side
    2,605.38x = 5,128,758.77
  5. Step 5: Solve for x
    x = 5,128,758.77/2,605.38
  6. Step 6: Final answer
    x = 1,968.53

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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.