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Finding the Fourth Proportional to 2,298.96, 3,176.28 and 1,603.44

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Solution

The fourth proportional to 2,298.96, 3,176.28 and 1,603.44 is: 2,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.96 : 3,176.28 = 1,603.44 : x
  2. Step 2: Convert to fraction form
    2,298.96/3,176.28 = 1,603.44/x
  3. Step 3: Cross multiply
    2,298.96x = 3,176.28 × 1,603.44
  4. Step 4: Simplify right side
    2,298.96x = 5,092,974.40
  5. Step 5: Solve for x
    x = 5,092,974.40/2,298.96
  6. Step 6: Final answer
    x = 2,215.34

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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.