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Finding the Fourth Proportional to 2,777.76, 4,166.51 and 1,046.25

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Solution

The fourth proportional to 2,777.76, 4,166.51 and 1,046.25 is: 1,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.76 : 4,166.51 = 1,046.25 : x
  2. Step 2: Convert to fraction form
    2,777.76/4,166.51 = 1,046.25/x
  3. Step 3: Cross multiply
    2,777.76x = 4,166.51 × 1,046.25
  4. Step 4: Simplify right side
    2,777.76x = 4,359,205.86
  5. Step 5: Solve for x
    x = 4,359,205.86/2,777.76
  6. Step 6: Final answer
    x = 1,569.32

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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.