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Finding the Fourth Proportional to 3,415.94, 4,714.17 and 2,018.66

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Solution

The fourth proportional to 3,415.94, 4,714.17 and 2,018.66 is: 2,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.94 : 4,714.17 = 2,018.66 : x
  2. Step 2: Convert to fraction form
    3,415.94/4,714.17 = 2,018.66/x
  3. Step 3: Cross multiply
    3,415.94x = 4,714.17 × 2,018.66
  4. Step 4: Simplify right side
    3,415.94x = 9,516,306.41
  5. Step 5: Solve for x
    x = 9,516,306.41/3,415.94
  6. Step 6: Final answer
    x = 2,785.85

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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.