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Finding the Fourth Proportional to 1,848.08, 2,772.98 and 807.94

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Solution

The fourth proportional to 1,848.08, 2,772.98 and 807.94 is: 1,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.08 : 2,772.98 = 807.94 : x
  2. Step 2: Convert to fraction form
    1,848.08/2,772.98 = 807.94/x
  3. Step 3: Cross multiply
    1,848.08x = 2,772.98 × 807.94
  4. Step 4: Simplify right side
    1,848.08x = 2,240,406.37
  5. Step 5: Solve for x
    x = 2,240,406.37/1,848.08
  6. Step 6: Final answer
    x = 1,212.29

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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.