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Finding the Fourth Proportional to 3,646.80, 5,470.07 and 1,454.94

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Solution

The fourth proportional to 3,646.80, 5,470.07 and 1,454.94 is: 2,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.80 : 5,470.07 = 1,454.94 : x
  2. Step 2: Convert to fraction form
    3,646.80/5,470.07 = 1,454.94/x
  3. Step 3: Cross multiply
    3,646.80x = 5,470.07 × 1,454.94
  4. Step 4: Simplify right side
    3,646.80x = 7,958,616.37
  5. Step 5: Solve for x
    x = 7,958,616.37/3,646.80
  6. Step 6: Final answer
    x = 2,182.36

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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.