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Finding the Fourth Proportional to 3,277.61, 4,523.18 and 1,785.61

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Solution

The fourth proportional to 3,277.61, 4,523.18 and 1,785.61 is: 2,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.61 : 4,523.18 = 1,785.61 : x
  2. Step 2: Convert to fraction form
    3,277.61/4,523.18 = 1,785.61/x
  3. Step 3: Cross multiply
    3,277.61x = 4,523.18 × 1,785.61
  4. Step 4: Simplify right side
    3,277.61x = 8,076,612.82
  5. Step 5: Solve for x
    x = 8,076,612.82/3,277.61
  6. Step 6: Final answer
    x = 2,464.18

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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.