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Finding the Fourth Proportional to 1,765.86, 2,436.90 and 1,019.82

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Solution

The fourth proportional to 1,765.86, 2,436.90 and 1,019.82 is: 1,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.86 : 2,436.90 = 1,019.82 : x
  2. Step 2: Convert to fraction form
    1,765.86/2,436.90 = 1,019.82/x
  3. Step 3: Cross multiply
    1,765.86x = 2,436.90 × 1,019.82
  4. Step 4: Simplify right side
    1,765.86x = 2,485,199.36
  5. Step 5: Solve for x
    x = 2,485,199.36/1,765.86
  6. Step 6: Final answer
    x = 1,407.36

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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.