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Finding the Fourth Proportional to 1,972.54, 2,952.65 and 1,453.13

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Solution

The fourth proportional to 1,972.54, 2,952.65 and 1,453.13 is: 2,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.54 : 2,952.65 = 1,453.13 : x
  2. Step 2: Convert to fraction form
    1,972.54/2,952.65 = 1,453.13/x
  3. Step 3: Cross multiply
    1,972.54x = 2,952.65 × 1,453.13
  4. Step 4: Simplify right side
    1,972.54x = 4,290,584.29
  5. Step 5: Solve for x
    x = 4,290,584.29/1,972.54
  6. Step 6: Final answer
    x = 2,175.16

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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.