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Finding the Fourth Proportional to 2,547.62, 3,522.78 and 2,022.74

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Solution

The fourth proportional to 2,547.62, 3,522.78 and 2,022.74 is: 2,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.62 : 3,522.78 = 2,022.74 : x
  2. Step 2: Convert to fraction form
    2,547.62/3,522.78 = 2,022.74/x
  3. Step 3: Cross multiply
    2,547.62x = 3,522.78 × 2,022.74
  4. Step 4: Simplify right side
    2,547.62x = 7,125,668.02
  5. Step 5: Solve for x
    x = 7,125,668.02/2,547.62
  6. Step 6: Final answer
    x = 2,796.99

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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.