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Finding the Fourth Proportional to 2,599.76, 3,899.61 and 2,243

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Solution

The fourth proportional to 2,599.76, 3,899.61 and 2,243 is: 3,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.76 : 3,899.61 = 2,243 : x
  2. Step 2: Convert to fraction form
    2,599.76/3,899.61 = 2,243/x
  3. Step 3: Cross multiply
    2,599.76x = 3,899.61 × 2,243
  4. Step 4: Simplify right side
    2,599.76x = 8,746,825.23
  5. Step 5: Solve for x
    x = 8,746,825.23/2,599.76
  6. Step 6: Final answer
    x = 3,364.47

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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.