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Finding the Fourth Proportional to 2,098.80, 2,894.28 and 1,531.08

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Solution

The fourth proportional to 2,098.80, 2,894.28 and 1,531.08 is: 2,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.80 : 2,894.28 = 1,531.08 : x
  2. Step 2: Convert to fraction form
    2,098.80/2,894.28 = 1,531.08/x
  3. Step 3: Cross multiply
    2,098.80x = 2,894.28 × 1,531.08
  4. Step 4: Simplify right side
    2,098.80x = 4,431,374.22
  5. Step 5: Solve for x
    x = 4,431,374.22/2,098.80
  6. Step 6: Final answer
    x = 2,111.38

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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.