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Finding the Fourth Proportional to 2,690.56, 3,712.98 and 1,511.65

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Solution

The fourth proportional to 2,690.56, 3,712.98 and 1,511.65 is: 2,086.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.56 : 3,712.98 = 1,511.65 : x
  2. Step 2: Convert to fraction form
    2,690.56/3,712.98 = 1,511.65/x
  3. Step 3: Cross multiply
    2,690.56x = 3,712.98 × 1,511.65
  4. Step 4: Simplify right side
    2,690.56x = 5,612,726.22
  5. Step 5: Solve for x
    x = 5,612,726.22/2,690.56
  6. Step 6: Final answer
    x = 2,086.08

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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.