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Finding the Fourth Proportional to 2,698.25, 4,047.68 and 849.63

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Solution

The fourth proportional to 2,698.25, 4,047.68 and 849.63 is: 1,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.25 : 4,047.68 = 849.63 : x
  2. Step 2: Convert to fraction form
    2,698.25/4,047.68 = 849.63/x
  3. Step 3: Cross multiply
    2,698.25x = 4,047.68 × 849.63
  4. Step 4: Simplify right side
    2,698.25x = 3,439,030.36
  5. Step 5: Solve for x
    x = 3,439,030.36/2,698.25
  6. Step 6: Final answer
    x = 1,274.54

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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.