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Finding the Fourth Proportional to 1,753.65, 2,618.03 and 1,559.25

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Solution

The fourth proportional to 1,753.65, 2,618.03 and 1,559.25 is: 2,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.65 : 2,618.03 = 1,559.25 : x
  2. Step 2: Convert to fraction form
    1,753.65/2,618.03 = 1,559.25/x
  3. Step 3: Cross multiply
    1,753.65x = 2,618.03 × 1,559.25
  4. Step 4: Simplify right side
    1,753.65x = 4,082,167.18
  5. Step 5: Solve for x
    x = 4,082,167.18/1,753.65
  6. Step 6: Final answer
    x = 2,327.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.