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Finding the Fourth Proportional to 2,803.47, 4,205.71 and 1,159.12

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Solution

The fourth proportional to 2,803.47, 4,205.71 and 1,159.12 is: 1,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.47 : 4,205.71 = 1,159.12 : x
  2. Step 2: Convert to fraction form
    2,803.47/4,205.71 = 1,159.12/x
  3. Step 3: Cross multiply
    2,803.47x = 4,205.71 × 1,159.12
  4. Step 4: Simplify right side
    2,803.47x = 4,874,922.58
  5. Step 5: Solve for x
    x = 4,874,922.58/2,803.47
  6. Step 6: Final answer
    x = 1,738.89

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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.