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Finding the Fourth Proportional to 3,208.01, 4,427.02 and 1,881.46

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Solution

The fourth proportional to 3,208.01, 4,427.02 and 1,881.46 is: 2,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.01 : 4,427.02 = 1,881.46 : x
  2. Step 2: Convert to fraction form
    3,208.01/4,427.02 = 1,881.46/x
  3. Step 3: Cross multiply
    3,208.01x = 4,427.02 × 1,881.46
  4. Step 4: Simplify right side
    3,208.01x = 8,329,268.93
  5. Step 5: Solve for x
    x = 8,329,268.93/3,208.01
  6. Step 6: Final answer
    x = 2,596.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.