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Finding the Fourth Proportional to 2,075.35, 3,112.99 and 614.51

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Solution

The fourth proportional to 2,075.35, 3,112.99 and 614.51 is: 921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.35 : 3,112.99 = 614.51 : x
  2. Step 2: Convert to fraction form
    2,075.35/3,112.99 = 614.51/x
  3. Step 3: Cross multiply
    2,075.35x = 3,112.99 × 614.51
  4. Step 4: Simplify right side
    2,075.35x = 1,912,963.48
  5. Step 5: Solve for x
    x = 1,912,963.48/2,075.35
  6. Step 6: Final answer
    x = 921.75

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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.