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Finding the Fourth Proportional to 2,894.13, 3,988.54 and 2,054.87

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Solution

The fourth proportional to 2,894.13, 3,988.54 and 2,054.87 is: 2,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.13 : 3,988.54 = 2,054.87 : x
  2. Step 2: Convert to fraction form
    2,894.13/3,988.54 = 2,054.87/x
  3. Step 3: Cross multiply
    2,894.13x = 3,988.54 × 2,054.87
  4. Step 4: Simplify right side
    2,894.13x = 8,195,928.77
  5. Step 5: Solve for x
    x = 8,195,928.77/2,894.13
  6. Step 6: Final answer
    x = 2,831.91

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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.