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Finding the Fourth Proportional to 3,105.42, 4,657.40 and 1,856.40

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Solution

The fourth proportional to 3,105.42, 4,657.40 and 1,856.40 is: 2,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.42 : 4,657.40 = 1,856.40 : x
  2. Step 2: Convert to fraction form
    3,105.42/4,657.40 = 1,856.40/x
  3. Step 3: Cross multiply
    3,105.42x = 4,657.40 × 1,856.40
  4. Step 4: Simplify right side
    3,105.42x = 8,645,997.36
  5. Step 5: Solve for x
    x = 8,645,997.36/3,105.42
  6. Step 6: Final answer
    x = 2,784.16

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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.