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Finding the Fourth Proportional to 1,837.52, 2,535.80 and 998.24

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Solution

The fourth proportional to 1,837.52, 2,535.80 and 998.24 is: 1,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.52 : 2,535.80 = 998.24 : x
  2. Step 2: Convert to fraction form
    1,837.52/2,535.80 = 998.24/x
  3. Step 3: Cross multiply
    1,837.52x = 2,535.80 × 998.24
  4. Step 4: Simplify right side
    1,837.52x = 2,531,319.32
  5. Step 5: Solve for x
    x = 2,531,319.32/1,837.52
  6. Step 6: Final answer
    x = 1,377.58

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1.5x scale

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.