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Finding the Fourth Proportional to 1,823.01, 2,732.58 and 726.90

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Solution

The fourth proportional to 1,823.01, 2,732.58 and 726.90 is: 1,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.01 : 2,732.58 = 726.90 : x
  2. Step 2: Convert to fraction form
    1,823.01/2,732.58 = 726.90/x
  3. Step 3: Cross multiply
    1,823.01x = 2,732.58 × 726.90
  4. Step 4: Simplify right side
    1,823.01x = 1,986,312.40
  5. Step 5: Solve for x
    x = 1,986,312.40/1,823.01
  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.