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Finding the Fourth Proportional to 1,765.69, 2,436.09 and 1,019.55

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Solution

The fourth proportional to 1,765.69, 2,436.09 and 1,019.55 is: 1,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.69 : 2,436.09 = 1,019.55 : x
  2. Step 2: Convert to fraction form
    1,765.69/2,436.09 = 1,019.55/x
  3. Step 3: Cross multiply
    1,765.69x = 2,436.09 × 1,019.55
  4. Step 4: Simplify right side
    1,765.69x = 2,483,715.56
  5. Step 5: Solve for x
    x = 2,483,715.56/1,765.69
  6. Step 6: Final answer
    x = 1,406.65

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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.