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Finding the Fourth Proportional to 2,036.98, 3,056.04 and 576.14

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Solution

The fourth proportional to 2,036.98, 3,056.04 and 576.14 is: 864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.98 : 3,056.04 = 576.14 : x
  2. Step 2: Convert to fraction form
    2,036.98/3,056.04 = 576.14/x
  3. Step 3: Cross multiply
    2,036.98x = 3,056.04 × 576.14
  4. Step 4: Simplify right side
    2,036.98x = 1,760,706.89
  5. Step 5: Solve for x
    x = 1,760,706.89/2,036.98
  6. Step 6: Final answer
    x = 864.37

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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.