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Finding the Fourth Proportional to 2,335.50, 3,478.95 and 2,230.74

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Solution

The fourth proportional to 2,335.50, 3,478.95 and 2,230.74 is: 3,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.50 : 3,478.95 = 2,230.74 : x
  2. Step 2: Convert to fraction form
    2,335.50/3,478.95 = 2,230.74/x
  3. Step 3: Cross multiply
    2,335.50x = 3,478.95 × 2,230.74
  4. Step 4: Simplify right side
    2,335.50x = 7,760,632.92
  5. Step 5: Solve for x
    x = 7,760,632.92/2,335.50
  6. Step 6: Final answer
    x = 3,322.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.