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Finding the Fourth Proportional to 3,454.04, 5,181.98 and 1,810.15

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Solution

The fourth proportional to 3,454.04, 5,181.98 and 1,810.15 is: 2,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.04 : 5,181.98 = 1,810.15 : x
  2. Step 2: Convert to fraction form
    3,454.04/5,181.98 = 1,810.15/x
  3. Step 3: Cross multiply
    3,454.04x = 5,181.98 × 1,810.15
  4. Step 4: Simplify right side
    3,454.04x = 9,380,139.09
  5. Step 5: Solve for x
    x = 9,380,139.09/3,454.04
  6. Step 6: Final answer
    x = 2,715.70

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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.