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Finding the Fourth Proportional to 1,965.96, 2,948.72 and 795.76

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Solution

The fourth proportional to 1,965.96, 2,948.72 and 795.76 is: 1,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.96 : 2,948.72 = 795.76 : x
  2. Step 2: Convert to fraction form
    1,965.96/2,948.72 = 795.76/x
  3. Step 3: Cross multiply
    1,965.96x = 2,948.72 × 795.76
  4. Step 4: Simplify right side
    1,965.96x = 2,346,473.43
  5. Step 5: Solve for x
    x = 2,346,473.43/1,965.96
  6. Step 6: Final answer
    x = 1,193.55

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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.