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Finding the Fourth Proportional to 1,856.06, 2,794.90 and 1,372.50

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Solution

The fourth proportional to 1,856.06, 2,794.90 and 1,372.50 is: 2,066.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.06 : 2,794.90 = 1,372.50 : x
  2. Step 2: Convert to fraction form
    1,856.06/2,794.90 = 1,372.50/x
  3. Step 3: Cross multiply
    1,856.06x = 2,794.90 × 1,372.50
  4. Step 4: Simplify right side
    1,856.06x = 3,836,000.25
  5. Step 5: Solve for x
    x = 3,836,000.25/1,856.06
  6. Step 6: Final answer
    x = 2,066.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.