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Finding the Fourth Proportional to 3,454.40, 4,766.40 and 2,056.96

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Solution

The fourth proportional to 3,454.40, 4,766.40 and 2,056.96 is: 2,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.40 : 4,766.40 = 2,056.96 : x
  2. Step 2: Convert to fraction form
    3,454.40/4,766.40 = 2,056.96/x
  3. Step 3: Cross multiply
    3,454.40x = 4,766.40 × 2,056.96
  4. Step 4: Simplify right side
    3,454.40x = 9,804,294.14
  5. Step 5: Solve for x
    x = 9,804,294.14/3,454.40
  6. Step 6: Final answer
    x = 2,838.20

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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.