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Finding the Fourth Proportional to 2,114.84, 3,172.21 and 575.84

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Solution

The fourth proportional to 2,114.84, 3,172.21 and 575.84 is: 863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.84 : 3,172.21 = 575.84 : x
  2. Step 2: Convert to fraction form
    2,114.84/3,172.21 = 575.84/x
  3. Step 3: Cross multiply
    2,114.84x = 3,172.21 × 575.84
  4. Step 4: Simplify right side
    2,114.84x = 1,826,668.11
  5. Step 5: Solve for x
    x = 1,826,668.11/2,114.84
  6. Step 6: Final answer
    x = 863.74

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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.