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Finding the Fourth Proportional to 2,051.88, 2,831.88 and 1,167.77

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Solution

The fourth proportional to 2,051.88, 2,831.88 and 1,167.77 is: 1,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.88 : 2,831.88 = 1,167.77 : x
  2. Step 2: Convert to fraction form
    2,051.88/2,831.88 = 1,167.77/x
  3. Step 3: Cross multiply
    2,051.88x = 2,831.88 × 1,167.77
  4. Step 4: Simplify right side
    2,051.88x = 3,306,970.35
  5. Step 5: Solve for x
    x = 3,306,970.35/2,051.88
  6. Step 6: Final answer
    x = 1,611.68

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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.