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Finding the Fourth Proportional to 2,718.12, 4,076.37 and 869.16

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Solution

The fourth proportional to 2,718.12, 4,076.37 and 869.16 is: 1,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.12 : 4,076.37 = 869.16 : x
  2. Step 2: Convert to fraction form
    2,718.12/4,076.37 = 869.16/x
  3. Step 3: Cross multiply
    2,718.12x = 4,076.37 × 869.16
  4. Step 4: Simplify right side
    2,718.12x = 3,543,017.75
  5. Step 5: Solve for x
    x = 3,543,017.75/2,718.12
  6. Step 6: Final answer
    x = 1,303.48

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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.