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Finding the Fourth Proportional to 2,867.72, 4,303.68 and 1,136.84

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Solution

The fourth proportional to 2,867.72, 4,303.68 and 1,136.84 is: 1,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.72 : 4,303.68 = 1,136.84 : x
  2. Step 2: Convert to fraction form
    2,867.72/4,303.68 = 1,136.84/x
  3. Step 3: Cross multiply
    2,867.72x = 4,303.68 × 1,136.84
  4. Step 4: Simplify right side
    2,867.72x = 4,892,595.57
  5. Step 5: Solve for x
    x = 4,892,595.57/2,867.72
  6. Step 6: Final answer
    x = 1,706.09

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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.