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Finding the Fourth Proportional to 1,791.06, 2,686.57 and 974.52

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Solution

The fourth proportional to 1,791.06, 2,686.57 and 974.52 is: 1,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.06 : 2,686.57 = 974.52 : x
  2. Step 2: Convert to fraction form
    1,791.06/2,686.57 = 974.52/x
  3. Step 3: Cross multiply
    1,791.06x = 2,686.57 × 974.52
  4. Step 4: Simplify right side
    1,791.06x = 2,618,118.63
  5. Step 5: Solve for x
    x = 2,618,118.63/1,791.06
  6. Step 6: Final answer
    x = 1,461.77

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