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Finding the Fourth Proportional to 2,369.44, 3,554.70 and 726.04

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Solution

The fourth proportional to 2,369.44, 3,554.70 and 726.04 is: 1,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.44 : 3,554.70 = 726.04 : x
  2. Step 2: Convert to fraction form
    2,369.44/3,554.70 = 726.04/x
  3. Step 3: Cross multiply
    2,369.44x = 3,554.70 × 726.04
  4. Step 4: Simplify right side
    2,369.44x = 2,580,854.39
  5. Step 5: Solve for x
    x = 2,580,854.39/2,369.44
  6. Step 6: Final answer
    x = 1,089.23

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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.