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Finding the Fourth Proportional to 3,097.84, 4,276.08 and 2,214.16

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Solution

The fourth proportional to 3,097.84, 4,276.08 and 2,214.16 is: 3,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.84 : 4,276.08 = 2,214.16 : x
  2. Step 2: Convert to fraction form
    3,097.84/4,276.08 = 2,214.16/x
  3. Step 3: Cross multiply
    3,097.84x = 4,276.08 × 2,214.16
  4. Step 4: Simplify right side
    3,097.84x = 9,467,925.29
  5. Step 5: Solve for x
    x = 9,467,925.29/3,097.84
  6. Step 6: Final answer
    x = 3,056.30

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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.