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Finding the Fourth Proportional to 1,677.16, 2,314.55 and 920.97

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Solution

The fourth proportional to 1,677.16, 2,314.55 and 920.97 is: 1,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.16 : 2,314.55 = 920.97 : x
  2. Step 2: Convert to fraction form
    1,677.16/2,314.55 = 920.97/x
  3. Step 3: Cross multiply
    1,677.16x = 2,314.55 × 920.97
  4. Step 4: Simplify right side
    1,677.16x = 2,131,633.42
  5. Step 5: Solve for x
    x = 2,131,633.42/1,677.16
  6. Step 6: Final answer
    x = 1,270.98

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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.