Home / 2,117.42-3,177.06-1,142.38

Finding the Fourth Proportional to 2,117.42, 3,177.06 and 1,142.38

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Solution

The fourth proportional to 2,117.42, 3,177.06 and 1,142.38 is: 1,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.42 : 3,177.06 = 1,142.38 : x
  2. Step 2: Convert to fraction form
    2,117.42/3,177.06 = 1,142.38/x
  3. Step 3: Cross multiply
    2,117.42x = 3,177.06 × 1,142.38
  4. Step 4: Simplify right side
    2,117.42x = 3,629,409.80
  5. Step 5: Solve for x
    x = 3,629,409.80/2,117.42
  6. Step 6: Final answer
    x = 1,714.07

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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.