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Finding the Fourth Proportional to 2,275.08, 3,412.86 and 736.04

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Solution

The fourth proportional to 2,275.08, 3,412.86 and 736.04 is: 1,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.08 : 3,412.86 = 736.04 : x
  2. Step 2: Convert to fraction form
    2,275.08/3,412.86 = 736.04/x
  3. Step 3: Cross multiply
    2,275.08x = 3,412.86 × 736.04
  4. Step 4: Simplify right side
    2,275.08x = 2,512,001.47
  5. Step 5: Solve for x
    x = 2,512,001.47/2,275.08
  6. Step 6: Final answer
    x = 1,104.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.