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Finding the Fourth Proportional to 1,765.52, 2,436.14 and 979.54

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Solution

The fourth proportional to 1,765.52, 2,436.14 and 979.54 is: 1,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.52 : 2,436.14 = 979.54 : x
  2. Step 2: Convert to fraction form
    1,765.52/2,436.14 = 979.54/x
  3. Step 3: Cross multiply
    1,765.52x = 2,436.14 × 979.54
  4. Step 4: Simplify right side
    1,765.52x = 2,386,296.58
  5. Step 5: Solve for x
    x = 2,386,296.58/1,765.52
  6. Step 6: Final answer
    x = 1,351.61

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1.5x scale

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.