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Finding the Fourth Proportional to 3,232.42, 4,848.48 and 1,780.68

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Solution

The fourth proportional to 3,232.42, 4,848.48 and 1,780.68 is: 2,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.42 : 4,848.48 = 1,780.68 : x
  2. Step 2: Convert to fraction form
    3,232.42/4,848.48 = 1,780.68/x
  3. Step 3: Cross multiply
    3,232.42x = 4,848.48 × 1,780.68
  4. Step 4: Simplify right side
    3,232.42x = 8,633,591.37
  5. Step 5: Solve for x
    x = 8,633,591.37/3,232.42
  6. Step 6: Final answer
    x = 2,670.94

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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.