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Finding the Fourth Proportional to 2,117.21, 3,175.04 and 730.16

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Solution

The fourth proportional to 2,117.21, 3,175.04 and 730.16 is: 1,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.21 : 3,175.04 = 730.16 : x
  2. Step 2: Convert to fraction form
    2,117.21/3,175.04 = 730.16/x
  3. Step 3: Cross multiply
    2,117.21x = 3,175.04 × 730.16
  4. Step 4: Simplify right side
    2,117.21x = 2,318,273.16
  5. Step 5: Solve for x
    x = 2,318,273.16/2,117.21
  6. Step 6: Final answer
    x = 1,094.96

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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.