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Finding the Fourth Proportional to 2,170.17, 3,256.85 and 1,616.13

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Solution

The fourth proportional to 2,170.17, 3,256.85 and 1,616.13 is: 2,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.17 : 3,256.85 = 1,616.13 : x
  2. Step 2: Convert to fraction form
    2,170.17/3,256.85 = 1,616.13/x
  3. Step 3: Cross multiply
    2,170.17x = 3,256.85 × 1,616.13
  4. Step 4: Simplify right side
    2,170.17x = 5,263,492.99
  5. Step 5: Solve for x
    x = 5,263,492.99/2,170.17
  6. Step 6: Final answer
    x = 2,425.38

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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.