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Finding the Fourth Proportional to 2,309.47, 3,463.33 and 828.29

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Solution

The fourth proportional to 2,309.47, 3,463.33 and 828.29 is: 1,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.47 : 3,463.33 = 828.29 : x
  2. Step 2: Convert to fraction form
    2,309.47/3,463.33 = 828.29/x
  3. Step 3: Cross multiply
    2,309.47x = 3,463.33 × 828.29
  4. Step 4: Simplify right side
    2,309.47x = 2,868,641.61
  5. Step 5: Solve for x
    x = 2,868,641.61/2,309.47
  6. Step 6: Final answer
    x = 1,242.12

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1.5x scale

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.