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Finding the Fourth Proportional to 3,097.64, 4,278.26 and 2,101.18

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Solution

The fourth proportional to 3,097.64, 4,278.26 and 2,101.18 is: 2,902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.64 : 4,278.26 = 2,101.18 : x
  2. Step 2: Convert to fraction form
    3,097.64/4,278.26 = 2,101.18/x
  3. Step 3: Cross multiply
    3,097.64x = 4,278.26 × 2,101.18
  4. Step 4: Simplify right side
    3,097.64x = 8,989,373.15
  5. Step 5: Solve for x
    x = 8,989,373.15/3,097.64
  6. Step 6: Final answer
    x = 2,902.01

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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.