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Finding the Fourth Proportional to 1,763.14, 2,433.33 and 977.38

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Solution

The fourth proportional to 1,763.14, 2,433.33 and 977.38 is: 1,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.14 : 2,433.33 = 977.38 : x
  2. Step 2: Convert to fraction form
    1,763.14/2,433.33 = 977.38/x
  3. Step 3: Cross multiply
    1,763.14x = 2,433.33 × 977.38
  4. Step 4: Simplify right side
    1,763.14x = 2,378,288.08
  5. Step 5: Solve for x
    x = 2,378,288.08/1,763.14
  6. Step 6: Final answer
    x = 1,348.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.