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Finding the Fourth Proportional to 2,643.29, 3,964.87 and 1,534.36

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Solution

The fourth proportional to 2,643.29, 3,964.87 and 1,534.36 is: 2,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.29 : 3,964.87 = 1,534.36 : x
  2. Step 2: Convert to fraction form
    2,643.29/3,964.87 = 1,534.36/x
  3. Step 3: Cross multiply
    2,643.29x = 3,964.87 × 1,534.36
  4. Step 4: Simplify right side
    2,643.29x = 6,083,537.93
  5. Step 5: Solve for x
    x = 6,083,537.93/2,643.29
  6. Step 6: Final answer
    x = 2,301.50

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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.