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Finding the Fourth Proportional to 3,208.71, 4,813.08 and 1,017.66

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Solution

The fourth proportional to 3,208.71, 4,813.08 and 1,017.66 is: 1,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.71 : 4,813.08 = 1,017.66 : x
  2. Step 2: Convert to fraction form
    3,208.71/4,813.08 = 1,017.66/x
  3. Step 3: Cross multiply
    3,208.71x = 4,813.08 × 1,017.66
  4. Step 4: Simplify right side
    3,208.71x = 4,898,078.99
  5. Step 5: Solve for x
    x = 4,898,078.99/3,208.71
  6. Step 6: Final answer
    x = 1,526.49

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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.