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Finding the Fourth Proportional to 2,468.79, 3,703.08 and 713.79

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Solution

The fourth proportional to 2,468.79, 3,703.08 and 713.79 is: 1,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.79 : 3,703.08 = 713.79 : x
  2. Step 2: Convert to fraction form
    2,468.79/3,703.08 = 713.79/x
  3. Step 3: Cross multiply
    2,468.79x = 3,703.08 × 713.79
  4. Step 4: Simplify right side
    2,468.79x = 2,643,221.47
  5. Step 5: Solve for x
    x = 2,643,221.47/2,468.79
  6. Step 6: Final answer
    x = 1,070.65

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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.