Home / 2,277.47-3,142.96-1,282.78

Finding the Fourth Proportional to 2,277.47, 3,142.96 and 1,282.78

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Solution

The fourth proportional to 2,277.47, 3,142.96 and 1,282.78 is: 1,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.47 : 3,142.96 = 1,282.78 : x
  2. Step 2: Convert to fraction form
    2,277.47/3,142.96 = 1,282.78/x
  3. Step 3: Cross multiply
    2,277.47x = 3,142.96 × 1,282.78
  4. Step 4: Simplify right side
    2,277.47x = 4,031,726.23
  5. Step 5: Solve for x
    x = 4,031,726.23/2,277.47
  6. Step 6: Final answer
    x = 1,770.27

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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.