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Finding the Fourth Proportional to 2,293.07, 3,439.58 and 561.71

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Solution

The fourth proportional to 2,293.07, 3,439.58 and 561.71 is: 842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.07 : 3,439.58 = 561.71 : x
  2. Step 2: Convert to fraction form
    2,293.07/3,439.58 = 561.71/x
  3. Step 3: Cross multiply
    2,293.07x = 3,439.58 × 561.71
  4. Step 4: Simplify right side
    2,293.07x = 1,932,043.67
  5. Step 5: Solve for x
    x = 1,932,043.67/2,293.07
  6. Step 6: Final answer
    x = 842.56

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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.