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Finding the Fourth Proportional to 2,252.87, 3,374.82 and 1,374.29

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Solution

The fourth proportional to 2,252.87, 3,374.82 and 1,374.29 is: 2,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.87 : 3,374.82 = 1,374.29 : x
  2. Step 2: Convert to fraction form
    2,252.87/3,374.82 = 1,374.29/x
  3. Step 3: Cross multiply
    2,252.87x = 3,374.82 × 1,374.29
  4. Step 4: Simplify right side
    2,252.87x = 4,637,964.50
  5. Step 5: Solve for x
    x = 4,637,964.50/2,252.87
  6. Step 6: Final answer
    x = 2,058.70

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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.