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Finding the Fourth Proportional to 2,773.48, 4,162.44 and 1,386.76

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Solution

The fourth proportional to 2,773.48, 4,162.44 and 1,386.76 is: 2,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.48 : 4,162.44 = 1,386.76 : x
  2. Step 2: Convert to fraction form
    2,773.48/4,162.44 = 1,386.76/x
  3. Step 3: Cross multiply
    2,773.48x = 4,162.44 × 1,386.76
  4. Step 4: Simplify right side
    2,773.48x = 5,772,305.29
  5. Step 5: Solve for x
    x = 5,772,305.29/2,773.48
  6. Step 6: Final answer
    x = 2,081.25

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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.