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Finding the Fourth Proportional to 2,764.02, 3,807.86 and 1,923.28

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Solution

The fourth proportional to 2,764.02, 3,807.86 and 1,923.28 is: 2,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.02 : 3,807.86 = 1,923.28 : x
  2. Step 2: Convert to fraction form
    2,764.02/3,807.86 = 1,923.28/x
  3. Step 3: Cross multiply
    2,764.02x = 3,807.86 × 1,923.28
  4. Step 4: Simplify right side
    2,764.02x = 7,323,567.83
  5. Step 5: Solve for x
    x = 7,323,567.83/2,764.02
  6. Step 6: Final answer
    x = 2,649.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.