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Finding the Fourth Proportional to 2,111.98, 3,168.14 and 652.16

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Solution

The fourth proportional to 2,111.98, 3,168.14 and 652.16 is: 978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.98 : 3,168.14 = 652.16 : x
  2. Step 2: Convert to fraction form
    2,111.98/3,168.14 = 652.16/x
  3. Step 3: Cross multiply
    2,111.98x = 3,168.14 × 652.16
  4. Step 4: Simplify right side
    2,111.98x = 2,066,134.18
  5. Step 5: Solve for x
    x = 2,066,134.18/2,111.98
  6. Step 6: Final answer
    x = 978.29

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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.