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Finding the Fourth Proportional to 2,663.94, 3,668.58 and 2,655.84

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Solution

The fourth proportional to 2,663.94, 3,668.58 and 2,655.84 is: 3,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.94 : 3,668.58 = 2,655.84 : x
  2. Step 2: Convert to fraction form
    2,663.94/3,668.58 = 2,655.84/x
  3. Step 3: Cross multiply
    2,663.94x = 3,668.58 × 2,655.84
  4. Step 4: Simplify right side
    2,663.94x = 9,743,161.51
  5. Step 5: Solve for x
    x = 9,743,161.51/2,663.94
  6. Step 6: Final answer
    x = 3,657.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.