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Finding the Fourth Proportional to 3,292.74, 4,544.28 and 2,114.16

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Solution

The fourth proportional to 3,292.74, 4,544.28 and 2,114.16 is: 2,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.74 : 4,544.28 = 2,114.16 : x
  2. Step 2: Convert to fraction form
    3,292.74/4,544.28 = 2,114.16/x
  3. Step 3: Cross multiply
    3,292.74x = 4,544.28 × 2,114.16
  4. Step 4: Simplify right side
    3,292.74x = 9,607,335.00
  5. Step 5: Solve for x
    x = 9,607,335.00/3,292.74
  6. Step 6: Final answer
    x = 2,917.73

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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.