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Finding the Fourth Proportional to 3,287.54, 4,533.54 and 2,106.56

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Solution

The fourth proportional to 3,287.54, 4,533.54 and 2,106.56 is: 2,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.54 : 4,533.54 = 2,106.56 : x
  2. Step 2: Convert to fraction form
    3,287.54/4,533.54 = 2,106.56/x
  3. Step 3: Cross multiply
    3,287.54x = 4,533.54 × 2,106.56
  4. Step 4: Simplify right side
    3,287.54x = 9,550,174.02
  5. Step 5: Solve for x
    x = 9,550,174.02/3,287.54
  6. Step 6: Final answer
    x = 2,904.96

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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.