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Finding the Fourth Proportional to 1,952.32, 2,929.66 and 965.77

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Solution

The fourth proportional to 1,952.32, 2,929.66 and 965.77 is: 1,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.32 : 2,929.66 = 965.77 : x
  2. Step 2: Convert to fraction form
    1,952.32/2,929.66 = 965.77/x
  3. Step 3: Cross multiply
    1,952.32x = 2,929.66 × 965.77
  4. Step 4: Simplify right side
    1,952.32x = 2,829,363.09
  5. Step 5: Solve for x
    x = 2,829,363.09/1,952.32
  6. Step 6: Final answer
    x = 1,449.23

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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.