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Finding the Fourth Proportional to 2,294.00, 3,440.53 and 650.56

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Solution

The fourth proportional to 2,294.00, 3,440.53 and 650.56 is: 975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.00 : 3,440.53 = 650.56 : x
  2. Step 2: Convert to fraction form
    2,294.00/3,440.53 = 650.56/x
  3. Step 3: Cross multiply
    2,294.00x = 3,440.53 × 650.56
  4. Step 4: Simplify right side
    2,294.00x = 2,238,256.52
  5. Step 5: Solve for x
    x = 2,238,256.52/2,294.00
  6. Step 6: Final answer
    x = 975.70

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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.