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Finding the Fourth Proportional to 1,856.51, 2,563.17 and 1,656.99

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Solution

The fourth proportional to 1,856.51, 2,563.17 and 1,656.99 is: 2,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.51 : 2,563.17 = 1,656.99 : x
  2. Step 2: Convert to fraction form
    1,856.51/2,563.17 = 1,656.99/x
  3. Step 3: Cross multiply
    1,856.51x = 2,563.17 × 1,656.99
  4. Step 4: Simplify right side
    1,856.51x = 4,247,147.06
  5. Step 5: Solve for x
    x = 4,247,147.06/1,856.51
  6. Step 6: Final answer
    x = 2,287.71

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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.