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Finding the Fourth Proportional to 2,562.74, 3,844.23 and 807.98

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Solution

The fourth proportional to 2,562.74, 3,844.23 and 807.98 is: 1,212.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.74 : 3,844.23 = 807.98 : x
  2. Step 2: Convert to fraction form
    2,562.74/3,844.23 = 807.98/x
  3. Step 3: Cross multiply
    2,562.74x = 3,844.23 × 807.98
  4. Step 4: Simplify right side
    2,562.74x = 3,106,060.96
  5. Step 5: Solve for x
    x = 3,106,060.96/2,562.74
  6. Step 6: Final answer
    x = 1,212.01

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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.