Home / 2,277.83-3,143.42-1,283.12

Finding the Fourth Proportional to 2,277.83, 3,143.42 and 1,283.12

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Solution

The fourth proportional to 2,277.83, 3,143.42 and 1,283.12 is: 1,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.83 : 3,143.42 = 1,283.12 : x
  2. Step 2: Convert to fraction form
    2,277.83/3,143.42 = 1,283.12/x
  3. Step 3: Cross multiply
    2,277.83x = 3,143.42 × 1,283.12
  4. Step 4: Simplify right side
    2,277.83x = 4,033,386.51
  5. Step 5: Solve for x
    x = 4,033,386.51/2,277.83
  6. Step 6: Final answer
    x = 1,770.72

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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.