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Finding the Fourth Proportional to 2,698.59, 4,047.30 and 849.45

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Solution

The fourth proportional to 2,698.59, 4,047.30 and 849.45 is: 1,273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.59 : 4,047.30 = 849.45 : x
  2. Step 2: Convert to fraction form
    2,698.59/4,047.30 = 849.45/x
  3. Step 3: Cross multiply
    2,698.59x = 4,047.30 × 849.45
  4. Step 4: Simplify right side
    2,698.59x = 3,437,978.99
  5. Step 5: Solve for x
    x = 3,437,978.99/2,698.59
  6. Step 6: Final answer
    x = 1,273.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.