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Finding the Fourth Proportional to 3,184.75, 4,395.02 and 1,787.47

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Solution

The fourth proportional to 3,184.75, 4,395.02 and 1,787.47 is: 2,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.75 : 4,395.02 = 1,787.47 : x
  2. Step 2: Convert to fraction form
    3,184.75/4,395.02 = 1,787.47/x
  3. Step 3: Cross multiply
    3,184.75x = 4,395.02 × 1,787.47
  4. Step 4: Simplify right side
    3,184.75x = 7,855,966.40
  5. Step 5: Solve for x
    x = 7,855,966.40/3,184.75
  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.