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Finding the Fourth Proportional to 2,303.91, 3,456.05 and 843.03

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Solution

The fourth proportional to 2,303.91, 3,456.05 and 843.03 is: 1,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.91 : 3,456.05 = 843.03 : x
  2. Step 2: Convert to fraction form
    2,303.91/3,456.05 = 843.03/x
  3. Step 3: Cross multiply
    2,303.91x = 3,456.05 × 843.03
  4. Step 4: Simplify right side
    2,303.91x = 2,913,567.32
  5. Step 5: Solve for x
    x = 2,913,567.32/2,303.91
  6. Step 6: Final answer
    x = 1,264.62

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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.