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Finding the Fourth Proportional to 2,547.38, 3,822.26 and 2,000.63

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Solution

The fourth proportional to 2,547.38, 3,822.26 and 2,000.63 is: 3,001.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.38 : 3,822.26 = 2,000.63 : x
  2. Step 2: Convert to fraction form
    2,547.38/3,822.26 = 2,000.63/x
  3. Step 3: Cross multiply
    2,547.38x = 3,822.26 × 2,000.63
  4. Step 4: Simplify right side
    2,547.38x = 7,646,927.58
  5. Step 5: Solve for x
    x = 7,646,927.58/2,547.38
  6. Step 6: Final answer
    x = 3,001.88

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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.