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Finding the Fourth Proportional to 1,592.88, 2,198.22 and 929.76

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Solution

The fourth proportional to 1,592.88, 2,198.22 and 929.76 is: 1,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.88 : 2,198.22 = 929.76 : x
  2. Step 2: Convert to fraction form
    1,592.88/2,198.22 = 929.76/x
  3. Step 3: Cross multiply
    1,592.88x = 2,198.22 × 929.76
  4. Step 4: Simplify right side
    1,592.88x = 2,043,817.03
  5. Step 5: Solve for x
    x = 2,043,817.03/1,592.88
  6. Step 6: Final answer
    x = 1,283.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.