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Finding the Fourth Proportional to 2,075.06, 3,113.11 and 614.21

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Solution

The fourth proportional to 2,075.06, 3,113.11 and 614.21 is: 921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.06 : 3,113.11 = 614.21 : x
  2. Step 2: Convert to fraction form
    2,075.06/3,113.11 = 614.21/x
  3. Step 3: Cross multiply
    2,075.06x = 3,113.11 × 614.21
  4. Step 4: Simplify right side
    2,075.06x = 1,912,086.19
  5. Step 5: Solve for x
    x = 1,912,086.19/2,075.06
  6. Step 6: Final answer
    x = 921.46

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1.5x scale

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.