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Finding the Fourth Proportional to 3,208.16, 4,811.40 and 899.12

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Solution

The fourth proportional to 3,208.16, 4,811.40 and 899.12 is: 1,348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.16 : 4,811.40 = 899.12 : x
  2. Step 2: Convert to fraction form
    3,208.16/4,811.40 = 899.12/x
  3. Step 3: Cross multiply
    3,208.16x = 4,811.40 × 899.12
  4. Step 4: Simplify right side
    3,208.16x = 4,326,025.97
  5. Step 5: Solve for x
    x = 4,326,025.97/3,208.16
  6. Step 6: Final answer
    x = 1,348.44

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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.