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Finding the Fourth Proportional to 2,777.32, 4,165.98 and 1,046.44

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Solution

The fourth proportional to 2,777.32, 4,165.98 and 1,046.44 is: 1,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.32 : 4,165.98 = 1,046.44 : x
  2. Step 2: Convert to fraction form
    2,777.32/4,165.98 = 1,046.44/x
  3. Step 3: Cross multiply
    2,777.32x = 4,165.98 × 1,046.44
  4. Step 4: Simplify right side
    2,777.32x = 4,359,448.11
  5. Step 5: Solve for x
    x = 4,359,448.11/2,777.32
  6. Step 6: Final answer
    x = 1,569.66

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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.