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Finding the Fourth Proportional to 3,114.81, 4,298.24 and 1,787.58

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Solution

The fourth proportional to 3,114.81, 4,298.24 and 1,787.58 is: 2,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.81 : 4,298.24 = 1,787.58 : x
  2. Step 2: Convert to fraction form
    3,114.81/4,298.24 = 1,787.58/x
  3. Step 3: Cross multiply
    3,114.81x = 4,298.24 × 1,787.58
  4. Step 4: Simplify right side
    3,114.81x = 7,683,452.33
  5. Step 5: Solve for x
    x = 7,683,452.33/3,114.81
  6. Step 6: Final answer
    x = 2,466.75

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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.