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Finding the Fourth Proportional to 1,778.40, 2,668.24 and 803.76

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Solution

The fourth proportional to 1,778.40, 2,668.24 and 803.76 is: 1,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.40 : 2,668.24 = 803.76 : x
  2. Step 2: Convert to fraction form
    1,778.40/2,668.24 = 803.76/x
  3. Step 3: Cross multiply
    1,778.40x = 2,668.24 × 803.76
  4. Step 4: Simplify right side
    1,778.40x = 2,144,624.58
  5. Step 5: Solve for x
    x = 2,144,624.58/1,778.40
  6. Step 6: Final answer
    x = 1,205.93

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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.