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Finding the Fourth Proportional to 3,094.84, 4,643.07 and 1,147.60

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Solution

The fourth proportional to 3,094.84, 4,643.07 and 1,147.60 is: 1,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.84 : 4,643.07 = 1,147.60 : x
  2. Step 2: Convert to fraction form
    3,094.84/4,643.07 = 1,147.60/x
  3. Step 3: Cross multiply
    3,094.84x = 4,643.07 × 1,147.60
  4. Step 4: Simplify right side
    3,094.84x = 5,328,387.13
  5. Step 5: Solve for x
    x = 5,328,387.13/3,094.84
  6. Step 6: Final answer
    x = 1,721.70

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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.