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Finding the Fourth Proportional to 3,228.85, 4,456.01 and 1,813

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Solution

The fourth proportional to 3,228.85, 4,456.01 and 1,813 is: 2,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.85 : 4,456.01 = 1,813 : x
  2. Step 2: Convert to fraction form
    3,228.85/4,456.01 = 1,813/x
  3. Step 3: Cross multiply
    3,228.85x = 4,456.01 × 1,813
  4. Step 4: Simplify right side
    3,228.85x = 8,078,746.13
  5. Step 5: Solve for x
    x = 8,078,746.13/3,228.85
  6. Step 6: Final answer
    x = 2,502.05

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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.