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Finding the Fourth Proportional to 2,599.49, 3,896.61 and 933.12

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Solution

The fourth proportional to 2,599.49, 3,896.61 and 933.12 is: 1,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.49 : 3,896.61 = 933.12 : x
  2. Step 2: Convert to fraction form
    2,599.49/3,896.61 = 933.12/x
  3. Step 3: Cross multiply
    2,599.49x = 3,896.61 × 933.12
  4. Step 4: Simplify right side
    2,599.49x = 3,636,001.22
  5. Step 5: Solve for x
    x = 3,636,001.22/2,599.49
  6. Step 6: Final answer
    x = 1,398.74

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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.