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Finding the Fourth Proportional to 1,766.81, 2,438.31 and 1,176.95

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Solution

The fourth proportional to 1,766.81, 2,438.31 and 1,176.95 is: 1,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.81 : 2,438.31 = 1,176.95 : x
  2. Step 2: Convert to fraction form
    1,766.81/2,438.31 = 1,176.95/x
  3. Step 3: Cross multiply
    1,766.81x = 2,438.31 × 1,176.95
  4. Step 4: Simplify right side
    1,766.81x = 2,869,768.95
  5. Step 5: Solve for x
    x = 2,869,768.95/1,766.81
  6. Step 6: Final answer
    x = 1,624.27

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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.