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Finding the Fourth Proportional to 1,965.40, 2,948.73 and 869.38

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Solution

The fourth proportional to 1,965.40, 2,948.73 and 869.38 is: 1,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.40 : 2,948.73 = 869.38 : x
  2. Step 2: Convert to fraction form
    1,965.40/2,948.73 = 869.38/x
  3. Step 3: Cross multiply
    1,965.40x = 2,948.73 × 869.38
  4. Step 4: Simplify right side
    1,965.40x = 2,563,566.89
  5. Step 5: Solve for x
    x = 2,563,566.89/1,965.40
  6. Step 6: Final answer
    x = 1,304.35

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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.