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Finding the Fourth Proportional to 2,075.37, 3,111.97 and 614.33

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Solution

The fourth proportional to 2,075.37, 3,111.97 and 614.33 is: 921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.37 : 3,111.97 = 614.33 : x
  2. Step 2: Convert to fraction form
    2,075.37/3,111.97 = 614.33/x
  3. Step 3: Cross multiply
    2,075.37x = 3,111.97 × 614.33
  4. Step 4: Simplify right side
    2,075.37x = 1,911,776.53
  5. Step 5: Solve for x
    x = 1,911,776.53/2,075.37
  6. Step 6: Final answer
    x = 921.17

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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.