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Finding the Fourth Proportional to 1,359.84, 2,031.44 and 1,086.44

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Solution

The fourth proportional to 1,359.84, 2,031.44 and 1,086.44 is: 1,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.84 : 2,031.44 = 1,086.44 : x
  2. Step 2: Convert to fraction form
    1,359.84/2,031.44 = 1,086.44/x
  3. Step 3: Cross multiply
    1,359.84x = 2,031.44 × 1,086.44
  4. Step 4: Simplify right side
    1,359.84x = 2,207,037.67
  5. Step 5: Solve for x
    x = 2,207,037.67/1,359.84
  6. Step 6: Final answer
    x = 1,623.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.