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Finding the Fourth Proportional to 1,765.41, 2,436.27 and 979.50

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Solution

The fourth proportional to 1,765.41, 2,436.27 and 979.50 is: 1,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.41 : 2,436.27 = 979.50 : x
  2. Step 2: Convert to fraction form
    1,765.41/2,436.27 = 979.50/x
  3. Step 3: Cross multiply
    1,765.41x = 2,436.27 × 979.50
  4. Step 4: Simplify right side
    1,765.41x = 2,386,326.47
  5. Step 5: Solve for x
    x = 2,386,326.47/1,765.41
  6. Step 6: Final answer
    x = 1,351.71

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