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Finding the Fourth Proportional to 2,777.23, 3,833.54 and 1,598.77

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Solution

The fourth proportional to 2,777.23, 3,833.54 and 1,598.77 is: 2,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.23 : 3,833.54 = 1,598.77 : x
  2. Step 2: Convert to fraction form
    2,777.23/3,833.54 = 1,598.77/x
  3. Step 3: Cross multiply
    2,777.23x = 3,833.54 × 1,598.77
  4. Step 4: Simplify right side
    2,777.23x = 6,128,937.16
  5. Step 5: Solve for x
    x = 6,128,937.16/2,777.23
  6. Step 6: Final answer
    x = 2,206.85

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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.