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Finding the Fourth Proportional to 1,965.42, 2,948.02 and 763.18

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Solution

The fourth proportional to 1,965.42, 2,948.02 and 763.18 is: 1,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.42 : 2,948.02 = 763.18 : x
  2. Step 2: Convert to fraction form
    1,965.42/2,948.02 = 763.18/x
  3. Step 3: Cross multiply
    1,965.42x = 2,948.02 × 763.18
  4. Step 4: Simplify right side
    1,965.42x = 2,249,869.90
  5. Step 5: Solve for x
    x = 2,249,869.90/1,965.42
  6. Step 6: Final answer
    x = 1,144.73

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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.