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Finding the Fourth Proportional to 2,605.60, 3,595.62 and 1,426.65

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Solution

The fourth proportional to 2,605.60, 3,595.62 and 1,426.65 is: 1,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.60 : 3,595.62 = 1,426.65 : x
  2. Step 2: Convert to fraction form
    2,605.60/3,595.62 = 1,426.65/x
  3. Step 3: Cross multiply
    2,605.60x = 3,595.62 × 1,426.65
  4. Step 4: Simplify right side
    2,605.60x = 5,129,691.27
  5. Step 5: Solve for x
    x = 5,129,691.27/2,605.60
  6. Step 6: Final answer
    x = 1,968.72

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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.