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Finding the Fourth Proportional to 2,406.63, 3,610.04 and 763.14

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Solution

The fourth proportional to 2,406.63, 3,610.04 and 763.14 is: 1,144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.63 : 3,610.04 = 763.14 : x
  2. Step 2: Convert to fraction form
    2,406.63/3,610.04 = 763.14/x
  3. Step 3: Cross multiply
    2,406.63x = 3,610.04 × 763.14
  4. Step 4: Simplify right side
    2,406.63x = 2,754,947.88
  5. Step 5: Solve for x
    x = 2,754,947.88/2,406.63
  6. Step 6: Final answer
    x = 1,144.74

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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.