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Finding the Fourth Proportional to 2,354.82, 3,250.17 and 1,424.58

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Solution

The fourth proportional to 2,354.82, 3,250.17 and 1,424.58 is: 1,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.82 : 3,250.17 = 1,424.58 : x
  2. Step 2: Convert to fraction form
    2,354.82/3,250.17 = 1,424.58/x
  3. Step 3: Cross multiply
    2,354.82x = 3,250.17 × 1,424.58
  4. Step 4: Simplify right side
    2,354.82x = 4,630,127.18
  5. Step 5: Solve for x
    x = 4,630,127.18/2,354.82
  6. Step 6: Final answer
    x = 1,966.23

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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.