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Finding the Fourth Proportional to 2,403.97, 3,606.40 and 760.93

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Solution

The fourth proportional to 2,403.97, 3,606.40 and 760.93 is: 1,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.97 : 3,606.40 = 760.93 : x
  2. Step 2: Convert to fraction form
    2,403.97/3,606.40 = 760.93/x
  3. Step 3: Cross multiply
    2,403.97x = 3,606.40 × 760.93
  4. Step 4: Simplify right side
    2,403.97x = 2,744,217.95
  5. Step 5: Solve for x
    x = 2,744,217.95/2,403.97
  6. Step 6: Final answer
    x = 1,141.54

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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.