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Finding the Fourth Proportional to 1,922.00, 2,882.03 and 881.69

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Solution

The fourth proportional to 1,922.00, 2,882.03 and 881.69 is: 1,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.00 : 2,882.03 = 881.69 : x
  2. Step 2: Convert to fraction form
    1,922.00/2,882.03 = 881.69/x
  3. Step 3: Cross multiply
    1,922.00x = 2,882.03 × 881.69
  4. Step 4: Simplify right side
    1,922.00x = 2,541,038.21
  5. Step 5: Solve for x
    x = 2,541,038.21/1,922.00
  6. Step 6: Final answer
    x = 1,322.08

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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.