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Finding the Fourth Proportional to 1,765.42, 2,436.12 and 979.46

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Solution

The fourth proportional to 1,765.42, 2,436.12 and 979.46 is: 1,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.42 : 2,436.12 = 979.46 : x
  2. Step 2: Convert to fraction form
    1,765.42/2,436.12 = 979.46/x
  3. Step 3: Cross multiply
    1,765.42x = 2,436.12 × 979.46
  4. Step 4: Simplify right side
    1,765.42x = 2,386,082.10
  5. Step 5: Solve for x
    x = 2,386,082.10/1,765.42
  6. Step 6: Final answer
    x = 1,351.57

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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.