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Finding the Fourth Proportional to 1,967.82, 2,952.03 and 735.06

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Solution

The fourth proportional to 1,967.82, 2,952.03 and 735.06 is: 1,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.82 : 2,952.03 = 735.06 : x
  2. Step 2: Convert to fraction form
    1,967.82/2,952.03 = 735.06/x
  3. Step 3: Cross multiply
    1,967.82x = 2,952.03 × 735.06
  4. Step 4: Simplify right side
    1,967.82x = 2,169,919.17
  5. Step 5: Solve for x
    x = 2,169,919.17/1,967.82
  6. Step 6: Final answer
    x = 1,102.70

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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.