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Finding the Fourth Proportional to 1,656.68, 2,286.05 and 1,066.77

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Solution

The fourth proportional to 1,656.68, 2,286.05 and 1,066.77 is: 1,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.68 : 2,286.05 = 1,066.77 : x
  2. Step 2: Convert to fraction form
    1,656.68/2,286.05 = 1,066.77/x
  3. Step 3: Cross multiply
    1,656.68x = 2,286.05 × 1,066.77
  4. Step 4: Simplify right side
    1,656.68x = 2,438,684.22
  5. Step 5: Solve for x
    x = 2,438,684.22/1,656.68
  6. Step 6: Final answer
    x = 1,472.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.