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Finding the Fourth Proportional to 2,617.33, 3,927.02 and 1,155.46

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Solution

The fourth proportional to 2,617.33, 3,927.02 and 1,155.46 is: 1,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.33 : 3,927.02 = 1,155.46 : x
  2. Step 2: Convert to fraction form
    2,617.33/3,927.02 = 1,155.46/x
  3. Step 3: Cross multiply
    2,617.33x = 3,927.02 × 1,155.46
  4. Step 4: Simplify right side
    2,617.33x = 4,537,514.53
  5. Step 5: Solve for x
    x = 4,537,514.53/2,617.33
  6. Step 6: Final answer
    x = 1,733.64

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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.