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Finding the Fourth Proportional to 2,802.84, 4,200.30 and 2,066.64

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Solution

The fourth proportional to 2,802.84, 4,200.30 and 2,066.64 is: 3,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.84 : 4,200.30 = 2,066.64 : x
  2. Step 2: Convert to fraction form
    2,802.84/4,200.30 = 2,066.64/x
  3. Step 3: Cross multiply
    2,802.84x = 4,200.30 × 2,066.64
  4. Step 4: Simplify right side
    2,802.84x = 8,680,507.99
  5. Step 5: Solve for x
    x = 8,680,507.99/2,802.84
  6. Step 6: Final answer
    x = 3,097.04

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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.