Home / 2,106.72-3,159.52-1,282.14

Finding the Fourth Proportional to 2,106.72, 3,159.52 and 1,282.14

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Solution

The fourth proportional to 2,106.72, 3,159.52 and 1,282.14 is: 1,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.72 : 3,159.52 = 1,282.14 : x
  2. Step 2: Convert to fraction form
    2,106.72/3,159.52 = 1,282.14/x
  3. Step 3: Cross multiply
    2,106.72x = 3,159.52 × 1,282.14
  4. Step 4: Simplify right side
    2,106.72x = 4,050,946.97
  5. Step 5: Solve for x
    x = 4,050,946.97/2,106.72
  6. Step 6: Final answer
    x = 1,922.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.