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Finding the Fourth Proportional to 1,766.63, 2,438.55 and 1,068

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Solution

The fourth proportional to 1,766.63, 2,438.55 and 1,068 is: 1,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.63 : 2,438.55 = 1,068 : x
  2. Step 2: Convert to fraction form
    1,766.63/2,438.55 = 1,068/x
  3. Step 3: Cross multiply
    1,766.63x = 2,438.55 × 1,068
  4. Step 4: Simplify right side
    1,766.63x = 2,604,371.40
  5. Step 5: Solve for x
    x = 2,604,371.40/1,766.63
  6. Step 6: Final answer
    x = 1,474.21

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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.