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Finding the Fourth Proportional to 3,113.94, 4,296.75 and 1,787.46

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Solution

The fourth proportional to 3,113.94, 4,296.75 and 1,787.46 is: 2,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.94 : 4,296.75 = 1,787.46 : x
  2. Step 2: Convert to fraction form
    3,113.94/4,296.75 = 1,787.46/x
  3. Step 3: Cross multiply
    3,113.94x = 4,296.75 × 1,787.46
  4. Step 4: Simplify right side
    3,113.94x = 7,680,268.76
  5. Step 5: Solve for x
    x = 7,680,268.76/3,113.94
  6. Step 6: Final answer
    x = 2,466.42

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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.