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Finding the Fourth Proportional to 2,875.56, 3,967.46 and 1,944.68

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Solution

The fourth proportional to 2,875.56, 3,967.46 and 1,944.68 is: 2,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.56 : 3,967.46 = 1,944.68 : x
  2. Step 2: Convert to fraction form
    2,875.56/3,967.46 = 1,944.68/x
  3. Step 3: Cross multiply
    2,875.56x = 3,967.46 × 1,944.68
  4. Step 4: Simplify right side
    2,875.56x = 7,715,440.11
  5. Step 5: Solve for x
    x = 7,715,440.11/2,875.56
  6. Step 6: Final answer
    x = 2,683.11

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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.