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Finding the Fourth Proportional to 1,385.40, 2,080.98 and 1,098.84

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Solution

The fourth proportional to 1,385.40, 2,080.98 and 1,098.84 is: 1,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.40 : 2,080.98 = 1,098.84 : x
  2. Step 2: Convert to fraction form
    1,385.40/2,080.98 = 1,098.84/x
  3. Step 3: Cross multiply
    1,385.40x = 2,080.98 × 1,098.84
  4. Step 4: Simplify right side
    1,385.40x = 2,286,664.06
  5. Step 5: Solve for x
    x = 2,286,664.06/1,385.40
  6. Step 6: Final answer
    x = 1,650.54

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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.