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Finding the Fourth Proportional to 1,599.32, 2,206.82 and 891.10

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Solution

The fourth proportional to 1,599.32, 2,206.82 and 891.10 is: 1,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.32 : 2,206.82 = 891.10 : x
  2. Step 2: Convert to fraction form
    1,599.32/2,206.82 = 891.10/x
  3. Step 3: Cross multiply
    1,599.32x = 2,206.82 × 891.10
  4. Step 4: Simplify right side
    1,599.32x = 1,966,499.78
  5. Step 5: Solve for x
    x = 1,966,499.78/1,599.32
  6. Step 6: Final answer
    x = 1,229.59

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