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Finding the Fourth Proportional to 2,032.65, 2,805.07 and 1,246.55

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Solution

The fourth proportional to 2,032.65, 2,805.07 and 1,246.55 is: 1,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.65 : 2,805.07 = 1,246.55 : x
  2. Step 2: Convert to fraction form
    2,032.65/2,805.07 = 1,246.55/x
  3. Step 3: Cross multiply
    2,032.65x = 2,805.07 × 1,246.55
  4. Step 4: Simplify right side
    2,032.65x = 3,496,645.98
  5. Step 5: Solve for x
    x = 3,496,645.98/2,032.65
  6. Step 6: Final answer
    x = 1,720.24

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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.