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Finding the Fourth Proportional to 3,170.10, 4,753.98 and 1,854.30

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Solution

The fourth proportional to 3,170.10, 4,753.98 and 1,854.30 is: 2,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.10 : 4,753.98 = 1,854.30 : x
  2. Step 2: Convert to fraction form
    3,170.10/4,753.98 = 1,854.30/x
  3. Step 3: Cross multiply
    3,170.10x = 4,753.98 × 1,854.30
  4. Step 4: Simplify right side
    3,170.10x = 8,815,305.11
  5. Step 5: Solve for x
    x = 8,815,305.11/3,170.10
  6. Step 6: Final answer
    x = 2,780.77

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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.