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Finding the Fourth Proportional to 1,922.34, 2,884.02 and 689.88

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Solution

The fourth proportional to 1,922.34, 2,884.02 and 689.88 is: 1,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.34 : 2,884.02 = 689.88 : x
  2. Step 2: Convert to fraction form
    1,922.34/2,884.02 = 689.88/x
  3. Step 3: Cross multiply
    1,922.34x = 2,884.02 × 689.88
  4. Step 4: Simplify right side
    1,922.34x = 1,989,627.72
  5. Step 5: Solve for x
    x = 1,989,627.72/1,922.34
  6. Step 6: Final answer
    x = 1,035.00

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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.