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Finding the Fourth Proportional to 1,856.70, 2,786.40 and 1,240.20

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Solution

The fourth proportional to 1,856.70, 2,786.40 and 1,240.20 is: 1,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.70 : 2,786.40 = 1,240.20 : x
  2. Step 2: Convert to fraction form
    1,856.70/2,786.40 = 1,240.20/x
  3. Step 3: Cross multiply
    1,856.70x = 2,786.40 × 1,240.20
  4. Step 4: Simplify right side
    1,856.70x = 3,455,693.28
  5. Step 5: Solve for x
    x = 3,455,693.28/1,856.70
  6. Step 6: Final answer
    x = 1,861.20

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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.