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Finding the Fourth Proportional to 2,369.34, 3,554.52 and 726

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Solution

The fourth proportional to 2,369.34, 3,554.52 and 726 is: 1,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.34 : 3,554.52 = 726 : x
  2. Step 2: Convert to fraction form
    2,369.34/3,554.52 = 726/x
  3. Step 3: Cross multiply
    2,369.34x = 3,554.52 × 726
  4. Step 4: Simplify right side
    2,369.34x = 2,580,581.52
  5. Step 5: Solve for x
    x = 2,580,581.52/2,369.34
  6. Step 6: Final answer
    x = 1,089.16

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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.