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Finding the Fourth Proportional to 2,074.93, 3,112.42 and 614.11

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Solution

The fourth proportional to 2,074.93, 3,112.42 and 614.11 is: 921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.93 : 3,112.42 = 614.11 : x
  2. Step 2: Convert to fraction form
    2,074.93/3,112.42 = 614.11/x
  3. Step 3: Cross multiply
    2,074.93x = 3,112.42 × 614.11
  4. Step 4: Simplify right side
    2,074.93x = 1,911,368.25
  5. Step 5: Solve for x
    x = 1,911,368.25/2,074.93
  6. Step 6: Final answer
    x = 921.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.