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Finding the Fourth Proportional to 2,777.63, 3,833.52 and 1,785.74

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Solution

The fourth proportional to 2,777.63, 3,833.52 and 1,785.74 is: 2,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.63 : 3,833.52 = 1,785.74 : x
  2. Step 2: Convert to fraction form
    2,777.63/3,833.52 = 1,785.74/x
  3. Step 3: Cross multiply
    2,777.63x = 3,833.52 × 1,785.74
  4. Step 4: Simplify right side
    2,777.63x = 6,845,670.00
  5. Step 5: Solve for x
    x = 6,845,670.00/2,777.63
  6. Step 6: Final answer
    x = 2,464.57

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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.