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Finding the Fourth Proportional to 2,776.66, 4,165.26 and 927.94

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Solution

The fourth proportional to 2,776.66, 4,165.26 and 927.94 is: 1,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.66 : 4,165.26 = 927.94 : x
  2. Step 2: Convert to fraction form
    2,776.66/4,165.26 = 927.94/x
  3. Step 3: Cross multiply
    2,776.66x = 4,165.26 × 927.94
  4. Step 4: Simplify right side
    2,776.66x = 3,865,111.36
  5. Step 5: Solve for x
    x = 3,865,111.36/2,776.66
  6. Step 6: Final answer
    x = 1,392.00

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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.