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Finding the Fourth Proportional to 2,762.88, 3,811.68 and 1,923.36

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Solution

The fourth proportional to 2,762.88, 3,811.68 and 1,923.36 is: 2,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.88 : 3,811.68 = 1,923.36 : x
  2. Step 2: Convert to fraction form
    2,762.88/3,811.68 = 1,923.36/x
  3. Step 3: Cross multiply
    2,762.88x = 3,811.68 × 1,923.36
  4. Step 4: Simplify right side
    2,762.88x = 7,331,232.84
  5. Step 5: Solve for x
    x = 7,331,232.84/2,762.88
  6. Step 6: Final answer
    x = 2,653.47

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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.