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Finding the Fourth Proportional to 2,052.81, 3,079.38 and 591.99

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Solution

The fourth proportional to 2,052.81, 3,079.38 and 591.99 is: 888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.81 : 3,079.38 = 591.99 : x
  2. Step 2: Convert to fraction form
    2,052.81/3,079.38 = 591.99/x
  3. Step 3: Cross multiply
    2,052.81x = 3,079.38 × 591.99
  4. Step 4: Simplify right side
    2,052.81x = 1,822,962.17
  5. Step 5: Solve for x
    x = 1,822,962.17/2,052.81
  6. Step 6: Final answer
    x = 888.03

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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.