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Finding the Fourth Proportional to 2,053.06, 2,831.97 and 1,256.02

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Solution

The fourth proportional to 2,053.06, 2,831.97 and 1,256.02 is: 1,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.06 : 2,831.97 = 1,256.02 : x
  2. Step 2: Convert to fraction form
    2,053.06/2,831.97 = 1,256.02/x
  3. Step 3: Cross multiply
    2,053.06x = 2,831.97 × 1,256.02
  4. Step 4: Simplify right side
    2,053.06x = 3,557,010.96
  5. Step 5: Solve for x
    x = 3,557,010.96/2,053.06
  6. Step 6: Final answer
    x = 1,732.54

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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.