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Finding the Fourth Proportional to 1,913.19, 2,868.44 and 844.11

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Solution

The fourth proportional to 1,913.19, 2,868.44 and 844.11 is: 1,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.19 : 2,868.44 = 844.11 : x
  2. Step 2: Convert to fraction form
    1,913.19/2,868.44 = 844.11/x
  3. Step 3: Cross multiply
    1,913.19x = 2,868.44 × 844.11
  4. Step 4: Simplify right side
    1,913.19x = 2,421,274.67
  5. Step 5: Solve for x
    x = 2,421,274.67/1,913.19
  6. Step 6: Final answer
    x = 1,265.57

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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.