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Finding the Fourth Proportional to 3,458.99, 4,772.36 and 1,966.70

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Solution

The fourth proportional to 3,458.99, 4,772.36 and 1,966.70 is: 2,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.99 : 4,772.36 = 1,966.70 : x
  2. Step 2: Convert to fraction form
    3,458.99/4,772.36 = 1,966.70/x
  3. Step 3: Cross multiply
    3,458.99x = 4,772.36 × 1,966.70
  4. Step 4: Simplify right side
    3,458.99x = 9,385,766.72
  5. Step 5: Solve for x
    x = 9,385,766.72/3,458.99
  6. Step 6: Final answer
    x = 2,713.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.