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Finding the Fourth Proportional to 3,116.10, 4,674.15 and 1,884.90

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Solution

The fourth proportional to 3,116.10, 4,674.15 and 1,884.90 is: 2,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.10 : 4,674.15 = 1,884.90 : x
  2. Step 2: Convert to fraction form
    3,116.10/4,674.15 = 1,884.90/x
  3. Step 3: Cross multiply
    3,116.10x = 4,674.15 × 1,884.90
  4. Step 4: Simplify right side
    3,116.10x = 8,810,305.34
  5. Step 5: Solve for x
    x = 8,810,305.34/3,116.10
  6. Step 6: Final answer
    x = 2,827.35

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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.