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Finding the Fourth Proportional to 3,148.54, 4,722.27 and 839.50

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Solution

The fourth proportional to 3,148.54, 4,722.27 and 839.50 is: 1,259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.54 : 4,722.27 = 839.50 : x
  2. Step 2: Convert to fraction form
    3,148.54/4,722.27 = 839.50/x
  3. Step 3: Cross multiply
    3,148.54x = 4,722.27 × 839.50
  4. Step 4: Simplify right side
    3,148.54x = 3,964,345.67
  5. Step 5: Solve for x
    x = 3,964,345.67/3,148.54
  6. Step 6: Final answer
    x = 1,259.11

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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.