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Finding the Fourth Proportional to 1,854.06, 2,780.01 and 699.90

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Solution

The fourth proportional to 1,854.06, 2,780.01 and 699.90 is: 1,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.06 : 2,780.01 = 699.90 : x
  2. Step 2: Convert to fraction form
    1,854.06/2,780.01 = 699.90/x
  3. Step 3: Cross multiply
    1,854.06x = 2,780.01 × 699.90
  4. Step 4: Simplify right side
    1,854.06x = 1,945,729.00
  5. Step 5: Solve for x
    x = 1,945,729.00/1,854.06
  6. Step 6: Final answer
    x = 1,049.44

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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.