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Finding the Fourth Proportional to 2,249.01, 3,103.56 and 1,410.17

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Solution

The fourth proportional to 2,249.01, 3,103.56 and 1,410.17 is: 1,945.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.01 : 3,103.56 = 1,410.17 : x
  2. Step 2: Convert to fraction form
    2,249.01/3,103.56 = 1,410.17/x
  3. Step 3: Cross multiply
    2,249.01x = 3,103.56 × 1,410.17
  4. Step 4: Simplify right side
    2,249.01x = 4,376,547.21
  5. Step 5: Solve for x
    x = 4,376,547.21/2,249.01
  6. Step 6: Final answer
    x = 1,945.99

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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.