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Finding the Fourth Proportional to 3,114.69, 4,298.07 and 1,787.46

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Solution

The fourth proportional to 3,114.69, 4,298.07 and 1,787.46 is: 2,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.69 : 4,298.07 = 1,787.46 : x
  2. Step 2: Convert to fraction form
    3,114.69/4,298.07 = 1,787.46/x
  3. Step 3: Cross multiply
    3,114.69x = 4,298.07 × 1,787.46
  4. Step 4: Simplify right side
    3,114.69x = 7,682,628.20
  5. Step 5: Solve for x
    x = 7,682,628.20/3,114.69
  6. Step 6: Final answer
    x = 2,466.58

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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.