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Finding the Fourth Proportional to 2,803.39, 4,205.08 and 1,159.49

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Solution

The fourth proportional to 2,803.39, 4,205.08 and 1,159.49 is: 1,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.39 : 4,205.08 = 1,159.49 : x
  2. Step 2: Convert to fraction form
    2,803.39/4,205.08 = 1,159.49/x
  3. Step 3: Cross multiply
    2,803.39x = 4,205.08 × 1,159.49
  4. Step 4: Simplify right side
    2,803.39x = 4,875,760.17
  5. Step 5: Solve for x
    x = 4,875,760.17/2,803.39
  6. Step 6: Final answer
    x = 1,739.24

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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.