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Finding the Fourth Proportional to 1,856.69, 2,563.19 and 1,262.31

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Solution

The fourth proportional to 1,856.69, 2,563.19 and 1,262.31 is: 1,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.69 : 2,563.19 = 1,262.31 : x
  2. Step 2: Convert to fraction form
    1,856.69/2,563.19 = 1,262.31/x
  3. Step 3: Cross multiply
    1,856.69x = 2,563.19 × 1,262.31
  4. Step 4: Simplify right side
    1,856.69x = 3,235,534.06
  5. Step 5: Solve for x
    x = 3,235,534.06/1,856.69
  6. Step 6: Final answer
    x = 1,742.64

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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.