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Finding the Fourth Proportional to 2,123.63, 3,185.50 and 807.22

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Solution

The fourth proportional to 2,123.63, 3,185.50 and 807.22 is: 1,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.63 : 3,185.50 = 807.22 : x
  2. Step 2: Convert to fraction form
    2,123.63/3,185.50 = 807.22/x
  3. Step 3: Cross multiply
    2,123.63x = 3,185.50 × 807.22
  4. Step 4: Simplify right side
    2,123.63x = 2,571,387.14
  5. Step 5: Solve for x
    x = 2,571,387.14/2,123.63
  6. Step 6: Final answer
    x = 1,210.85

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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.