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Finding the Fourth Proportional to 4,175.02, 6,261.99 and 1,097.02

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Solution

The fourth proportional to 4,175.02, 6,261.99 and 1,097.02 is: 1,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.02 : 6,261.99 = 1,097.02 : x
  2. Step 2: Convert to fraction form
    4,175.02/6,261.99 = 1,097.02/x
  3. Step 3: Cross multiply
    4,175.02x = 6,261.99 × 1,097.02
  4. Step 4: Simplify right side
    4,175.02x = 6,869,528.27
  5. Step 5: Solve for x
    x = 6,869,528.27/4,175.02
  6. Step 6: Final answer
    x = 1,645.39

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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.