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Finding the Fourth Proportional to 2,123.83, 3,185.75 and 807.28

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Solution

The fourth proportional to 2,123.83, 3,185.75 and 807.28 is: 1,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.83 : 3,185.75 = 807.28 : x
  2. Step 2: Convert to fraction form
    2,123.83/3,185.75 = 807.28/x
  3. Step 3: Cross multiply
    2,123.83x = 3,185.75 × 807.28
  4. Step 4: Simplify right side
    2,123.83x = 2,571,776.33
  5. Step 5: Solve for x
    x = 2,571,776.33/2,123.83
  6. Step 6: Final answer
    x = 1,210.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.