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Finding the Fourth Proportional to 2,051.59, 2,831.16 and 1,167.37

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Solution

The fourth proportional to 2,051.59, 2,831.16 and 1,167.37 is: 1,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.59 : 2,831.16 = 1,167.37 : x
  2. Step 2: Convert to fraction form
    2,051.59/2,831.16 = 1,167.37/x
  3. Step 3: Cross multiply
    2,051.59x = 2,831.16 × 1,167.37
  4. Step 4: Simplify right side
    2,051.59x = 3,305,012.49
  5. Step 5: Solve for x
    x = 3,305,012.49/2,051.59
  6. Step 6: Final answer
    x = 1,610.95

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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.