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Finding the Fourth Proportional to 2,098.24, 3,148.40 and 928.49

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Solution

The fourth proportional to 2,098.24, 3,148.40 and 928.49 is: 1,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.24 : 3,148.40 = 928.49 : x
  2. Step 2: Convert to fraction form
    2,098.24/3,148.40 = 928.49/x
  3. Step 3: Cross multiply
    2,098.24x = 3,148.40 × 928.49
  4. Step 4: Simplify right side
    2,098.24x = 2,923,244.50
  5. Step 5: Solve for x
    x = 2,923,244.50/2,098.24
  6. Step 6: Final answer
    x = 1,393.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.