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Finding the Fourth Proportional to 2,370.08, 3,555.12 and 726.41

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Solution

The fourth proportional to 2,370.08, 3,555.12 and 726.41 is: 1,089.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.08 : 3,555.12 = 726.41 : x
  2. Step 2: Convert to fraction form
    2,370.08/3,555.12 = 726.41/x
  3. Step 3: Cross multiply
    2,370.08x = 3,555.12 × 726.41
  4. Step 4: Simplify right side
    2,370.08x = 2,582,474.72
  5. Step 5: Solve for x
    x = 2,582,474.72/2,370.08
  6. Step 6: Final answer
    x = 1,089.62

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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.