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Finding the Fourth Proportional to 3,237, 4,468.74 and 2,180.32

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Solution

The fourth proportional to 3,237, 4,468.74 and 2,180.32 is: 3,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237 : 4,468.74 = 2,180.32 : x
  2. Step 2: Convert to fraction form
    3,237/4,468.74 = 2,180.32/x
  3. Step 3: Cross multiply
    3,237x = 4,468.74 × 2,180.32
  4. Step 4: Simplify right side
    3,237x = 9,743,283.20
  5. Step 5: Solve for x
    x = 9,743,283.20/3,237
  6. Step 6: Final answer
    x = 3,009.97

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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.