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Finding the Fourth Proportional to 1,698.77, 2,549.37 and 1,149.59

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Solution

The fourth proportional to 1,698.77, 2,549.37 and 1,149.59 is: 1,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.77 : 2,549.37 = 1,149.59 : x
  2. Step 2: Convert to fraction form
    1,698.77/2,549.37 = 1,149.59/x
  3. Step 3: Cross multiply
    1,698.77x = 2,549.37 × 1,149.59
  4. Step 4: Simplify right side
    1,698.77x = 2,930,740.94
  5. Step 5: Solve for x
    x = 2,930,740.94/1,698.77
  6. Step 6: Final answer
    x = 1,725.21

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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.