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Finding the Fourth Proportional to 2,049.95, 3,075.02 and 589.07

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Solution

The fourth proportional to 2,049.95, 3,075.02 and 589.07 is: 883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.95 : 3,075.02 = 589.07 : x
  2. Step 2: Convert to fraction form
    2,049.95/3,075.02 = 589.07/x
  3. Step 3: Cross multiply
    2,049.95x = 3,075.02 × 589.07
  4. Step 4: Simplify right side
    2,049.95x = 1,811,402.03
  5. Step 5: Solve for x
    x = 1,811,402.03/2,049.95
  6. Step 6: Final answer
    x = 883.63

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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.