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Finding the Fourth Proportional to 2,226.47, 3,340.49 and 993.77

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Solution

The fourth proportional to 2,226.47, 3,340.49 and 993.77 is: 1,491.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.47 : 3,340.49 = 993.77 : x
  2. Step 2: Convert to fraction form
    2,226.47/3,340.49 = 993.77/x
  3. Step 3: Cross multiply
    2,226.47x = 3,340.49 × 993.77
  4. Step 4: Simplify right side
    2,226.47x = 3,319,657.08
  5. Step 5: Solve for x
    x = 3,319,657.08/2,226.47
  6. Step 6: Final answer
    x = 1,491.00

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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.