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Finding the Fourth Proportional to 1,766.36, 2,437.60 and 969.75

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Solution

The fourth proportional to 1,766.36, 2,437.60 and 969.75 is: 1,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.36 : 2,437.60 = 969.75 : x
  2. Step 2: Convert to fraction form
    1,766.36/2,437.60 = 969.75/x
  3. Step 3: Cross multiply
    1,766.36x = 2,437.60 × 969.75
  4. Step 4: Simplify right side
    1,766.36x = 2,363,870.56
  5. Step 5: Solve for x
    x = 2,363,870.56/1,766.36
  6. Step 6: Final answer
    x = 1,338.28

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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.