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Finding the Fourth Proportional to 1,869.84, 2,803.20 and 774.96

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Solution

The fourth proportional to 1,869.84, 2,803.20 and 774.96 is: 1,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.84 : 2,803.20 = 774.96 : x
  2. Step 2: Convert to fraction form
    1,869.84/2,803.20 = 774.96/x
  3. Step 3: Cross multiply
    1,869.84x = 2,803.20 × 774.96
  4. Step 4: Simplify right side
    1,869.84x = 2,172,367.87
  5. Step 5: Solve for x
    x = 2,172,367.87/1,869.84
  6. Step 6: Final answer
    x = 1,161.79

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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.