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Finding the Fourth Proportional to 1,856.68, 2,563.94 and 1,390.12

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Solution

The fourth proportional to 1,856.68, 2,563.94 and 1,390.12 is: 1,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.68 : 2,563.94 = 1,390.12 : x
  2. Step 2: Convert to fraction form
    1,856.68/2,563.94 = 1,390.12/x
  3. Step 3: Cross multiply
    1,856.68x = 2,563.94 × 1,390.12
  4. Step 4: Simplify right side
    1,856.68x = 3,564,184.27
  5. Step 5: Solve for x
    x = 3,564,184.27/1,856.68
  6. Step 6: Final answer
    x = 1,919.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.