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Finding the Fourth Proportional to 1,815.85, 2,722.56 and 719.92

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Solution

The fourth proportional to 1,815.85, 2,722.56 and 719.92 is: 1,079.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.85 : 2,722.56 = 719.92 : x
  2. Step 2: Convert to fraction form
    1,815.85/2,722.56 = 719.92/x
  3. Step 3: Cross multiply
    1,815.85x = 2,722.56 × 719.92
  4. Step 4: Simplify right side
    1,815.85x = 1,960,025.40
  5. Step 5: Solve for x
    x = 1,960,025.40/1,815.85
  6. Step 6: Final answer
    x = 1,079.40

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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.