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Finding the Fourth Proportional to 3,187.48, 4,782.84 and 1,648.48

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Solution

The fourth proportional to 3,187.48, 4,782.84 and 1,648.48 is: 2,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.48 : 4,782.84 = 1,648.48 : x
  2. Step 2: Convert to fraction form
    3,187.48/4,782.84 = 1,648.48/x
  3. Step 3: Cross multiply
    3,187.48x = 4,782.84 × 1,648.48
  4. Step 4: Simplify right side
    3,187.48x = 7,884,416.08
  5. Step 5: Solve for x
    x = 7,884,416.08/3,187.48
  6. Step 6: Final answer
    x = 2,473.56

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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.