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Finding the Fourth Proportional to 1,834.16, 2,748.60 and 966.56

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Solution

The fourth proportional to 1,834.16, 2,748.60 and 966.56 is: 1,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.16 : 2,748.60 = 966.56 : x
  2. Step 2: Convert to fraction form
    1,834.16/2,748.60 = 966.56/x
  3. Step 3: Cross multiply
    1,834.16x = 2,748.60 × 966.56
  4. Step 4: Simplify right side
    1,834.16x = 2,656,686.82
  5. Step 5: Solve for x
    x = 2,656,686.82/1,834.16
  6. Step 6: Final answer
    x = 1,448.45

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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.