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Finding the Fourth Proportional to 2,066.16, 2,850.30 and 1,368.12

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Solution

The fourth proportional to 2,066.16, 2,850.30 and 1,368.12 is: 1,887.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.16 : 2,850.30 = 1,368.12 : x
  2. Step 2: Convert to fraction form
    2,066.16/2,850.30 = 1,368.12/x
  3. Step 3: Cross multiply
    2,066.16x = 2,850.30 × 1,368.12
  4. Step 4: Simplify right side
    2,066.16x = 3,899,552.44
  5. Step 5: Solve for x
    x = 3,899,552.44/2,066.16
  6. Step 6: Final answer
    x = 1,887.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.