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Finding the Fourth Proportional to 2,617, 3,923.70 and 1,156.12

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Solution

The fourth proportional to 2,617, 3,923.70 and 1,156.12 is: 1,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617 : 3,923.70 = 1,156.12 : x
  2. Step 2: Convert to fraction form
    2,617/3,923.70 = 1,156.12/x
  3. Step 3: Cross multiply
    2,617x = 3,923.70 × 1,156.12
  4. Step 4: Simplify right side
    2,617x = 4,536,268.04
  5. Step 5: Solve for x
    x = 4,536,268.04/2,617
  6. Step 6: Final answer
    x = 1,733.38

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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.