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Finding the Fourth Proportional to 2,049.84, 3,075.27 and 588.96

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Solution

The fourth proportional to 2,049.84, 3,075.27 and 588.96 is: 883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.84 : 3,075.27 = 588.96 : x
  2. Step 2: Convert to fraction form
    2,049.84/3,075.27 = 588.96/x
  3. Step 3: Cross multiply
    2,049.84x = 3,075.27 × 588.96
  4. Step 4: Simplify right side
    2,049.84x = 1,811,211.02
  5. Step 5: Solve for x
    x = 1,811,211.02/2,049.84
  6. Step 6: Final answer
    x = 883.59

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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.