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Finding the Fourth Proportional to 2,049.98, 3,075.48 and 589.28

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Solution

The fourth proportional to 2,049.98, 3,075.48 and 589.28 is: 884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.98 : 3,075.48 = 589.28 : x
  2. Step 2: Convert to fraction form
    2,049.98/3,075.48 = 589.28/x
  3. Step 3: Cross multiply
    2,049.98x = 3,075.48 × 589.28
  4. Step 4: Simplify right side
    2,049.98x = 1,812,303.48
  5. Step 5: Solve for x
    x = 1,812,303.48/2,049.98
  6. Step 6: Final answer
    x = 884.06

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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.