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Finding the Fourth Proportional to 1,853.80, 2,787.12 and 1,491.10

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Solution

The fourth proportional to 1,853.80, 2,787.12 and 1,491.10 is: 2,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.80 : 2,787.12 = 1,491.10 : x
  2. Step 2: Convert to fraction form
    1,853.80/2,787.12 = 1,491.10/x
  3. Step 3: Cross multiply
    1,853.80x = 2,787.12 × 1,491.10
  4. Step 4: Simplify right side
    1,853.80x = 4,155,874.63
  5. Step 5: Solve for x
    x = 4,155,874.63/1,853.80
  6. Step 6: Final answer
    x = 2,241.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.