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Finding the Fourth Proportional to 2,117.03, 3,175.34 and 656.19

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Solution

The fourth proportional to 2,117.03, 3,175.34 and 656.19 is: 984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.03 : 3,175.34 = 656.19 : x
  2. Step 2: Convert to fraction form
    2,117.03/3,175.34 = 656.19/x
  3. Step 3: Cross multiply
    2,117.03x = 3,175.34 × 656.19
  4. Step 4: Simplify right side
    2,117.03x = 2,083,623.07
  5. Step 5: Solve for x
    x = 2,083,623.07/2,117.03
  6. Step 6: Final answer
    x = 984.22

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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.