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Finding the Fourth Proportional to 2,054.60, 2,833.60 and 1,531.88

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Solution

The fourth proportional to 2,054.60, 2,833.60 and 1,531.88 is: 2,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.60 : 2,833.60 = 1,531.88 : x
  2. Step 2: Convert to fraction form
    2,054.60/2,833.60 = 1,531.88/x
  3. Step 3: Cross multiply
    2,054.60x = 2,833.60 × 1,531.88
  4. Step 4: Simplify right side
    2,054.60x = 4,340,735.17
  5. Step 5: Solve for x
    x = 4,340,735.17/2,054.60
  6. Step 6: Final answer
    x = 2,112.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.