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Finding the Fourth Proportional to 1,882.14, 2,823.60 and 649.60

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Solution

The fourth proportional to 1,882.14, 2,823.60 and 649.60 is: 974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.14 : 2,823.60 = 649.60 : x
  2. Step 2: Convert to fraction form
    1,882.14/2,823.60 = 649.60/x
  3. Step 3: Cross multiply
    1,882.14x = 2,823.60 × 649.60
  4. Step 4: Simplify right side
    1,882.14x = 1,834,210.56
  5. Step 5: Solve for x
    x = 1,834,210.56/1,882.14
  6. Step 6: Final answer
    x = 974.53

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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.