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Finding the Fourth Proportional to 1,950.60, 2,691.25 and 1,164.77

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Solution

The fourth proportional to 1,950.60, 2,691.25 and 1,164.77 is: 1,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.60 : 2,691.25 = 1,164.77 : x
  2. Step 2: Convert to fraction form
    1,950.60/2,691.25 = 1,164.77/x
  3. Step 3: Cross multiply
    1,950.60x = 2,691.25 × 1,164.77
  4. Step 4: Simplify right side
    1,950.60x = 3,134,687.26
  5. Step 5: Solve for x
    x = 3,134,687.26/1,950.60
  6. Step 6: Final answer
    x = 1,607.04

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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.