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Finding the Fourth Proportional to 1,882.93, 2,824.84 and 650.35

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Solution

The fourth proportional to 1,882.93, 2,824.84 and 650.35 is: 975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.93 : 2,824.84 = 650.35 : x
  2. Step 2: Convert to fraction form
    1,882.93/2,824.84 = 650.35/x
  3. Step 3: Cross multiply
    1,882.93x = 2,824.84 × 650.35
  4. Step 4: Simplify right side
    1,882.93x = 1,837,139.04
  5. Step 5: Solve for x
    x = 1,837,139.04/1,882.93
  6. Step 6: Final answer
    x = 975.68

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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.