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Finding the Fourth Proportional to 1,763.39, 2,433.60 and 977.55

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Solution

The fourth proportional to 1,763.39, 2,433.60 and 977.55 is: 1,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.39 : 2,433.60 = 977.55 : x
  2. Step 2: Convert to fraction form
    1,763.39/2,433.60 = 977.55/x
  3. Step 3: Cross multiply
    1,763.39x = 2,433.60 × 977.55
  4. Step 4: Simplify right side
    1,763.39x = 2,378,965.68
  5. Step 5: Solve for x
    x = 2,378,965.68/1,763.39
  6. Step 6: Final answer
    x = 1,349.09

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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.