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Finding the Fourth Proportional to 1,615.87, 2,423.47 and 726.49

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Solution

The fourth proportional to 1,615.87, 2,423.47 and 726.49 is: 1,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.87 : 2,423.47 = 726.49 : x
  2. Step 2: Convert to fraction form
    1,615.87/2,423.47 = 726.49/x
  3. Step 3: Cross multiply
    1,615.87x = 2,423.47 × 726.49
  4. Step 4: Simplify right side
    1,615.87x = 1,760,626.72
  5. Step 5: Solve for x
    x = 1,760,626.72/1,615.87
  6. Step 6: Final answer
    x = 1,089.58

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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.