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Finding the Fourth Proportional to 3,232.70, 4,849.05 and 1,477.70

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Solution

The fourth proportional to 3,232.70, 4,849.05 and 1,477.70 is: 2,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.70 : 4,849.05 = 1,477.70 : x
  2. Step 2: Convert to fraction form
    3,232.70/4,849.05 = 1,477.70/x
  3. Step 3: Cross multiply
    3,232.70x = 4,849.05 × 1,477.70
  4. Step 4: Simplify right side
    3,232.70x = 7,165,441.19
  5. Step 5: Solve for x
    x = 7,165,441.19/3,232.70
  6. Step 6: Final answer
    x = 2,216.55

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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.