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Finding the Fourth Proportional to 2,139.16, 3,207.84 and 906.52

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Solution

The fourth proportional to 2,139.16, 3,207.84 and 906.52 is: 1,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.16 : 3,207.84 = 906.52 : x
  2. Step 2: Convert to fraction form
    2,139.16/3,207.84 = 906.52/x
  3. Step 3: Cross multiply
    2,139.16x = 3,207.84 × 906.52
  4. Step 4: Simplify right side
    2,139.16x = 2,907,971.12
  5. Step 5: Solve for x
    x = 2,907,971.12/2,139.16
  6. Step 6: Final answer
    x = 1,359.40

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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.