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Finding the Fourth Proportional to 1,765.63, 2,436.34 and 1,019.59

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Solution

The fourth proportional to 1,765.63, 2,436.34 and 1,019.59 is: 1,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.63 : 2,436.34 = 1,019.59 : x
  2. Step 2: Convert to fraction form
    1,765.63/2,436.34 = 1,019.59/x
  3. Step 3: Cross multiply
    1,765.63x = 2,436.34 × 1,019.59
  4. Step 4: Simplify right side
    1,765.63x = 2,484,067.90
  5. Step 5: Solve for x
    x = 2,484,067.90/1,765.63
  6. Step 6: Final answer
    x = 1,406.90

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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.