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Finding the Fourth Proportional to 2,291.58, 3,162.24 and 1,360.08

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Solution

The fourth proportional to 2,291.58, 3,162.24 and 1,360.08 is: 1,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.58 : 3,162.24 = 1,360.08 : x
  2. Step 2: Convert to fraction form
    2,291.58/3,162.24 = 1,360.08/x
  3. Step 3: Cross multiply
    2,291.58x = 3,162.24 × 1,360.08
  4. Step 4: Simplify right side
    2,291.58x = 4,300,899.38
  5. Step 5: Solve for x
    x = 4,300,899.38/2,291.58
  6. Step 6: Final answer
    x = 1,876.83

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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.