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Finding the Fourth Proportional to 2,707.14, 4,062.33 and 975.90

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Solution

The fourth proportional to 2,707.14, 4,062.33 and 975.90 is: 1,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.14 : 4,062.33 = 975.90 : x
  2. Step 2: Convert to fraction form
    2,707.14/4,062.33 = 975.90/x
  3. Step 3: Cross multiply
    2,707.14x = 4,062.33 × 975.90
  4. Step 4: Simplify right side
    2,707.14x = 3,964,427.85
  5. Step 5: Solve for x
    x = 3,964,427.85/2,707.14
  6. Step 6: Final answer
    x = 1,464.43

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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.