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Finding the Fourth Proportional to 2,295.33, 3,443.12 and 651.74

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Solution

The fourth proportional to 2,295.33, 3,443.12 and 651.74 is: 977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.33 : 3,443.12 = 651.74 : x
  2. Step 2: Convert to fraction form
    2,295.33/3,443.12 = 651.74/x
  3. Step 3: Cross multiply
    2,295.33x = 3,443.12 × 651.74
  4. Step 4: Simplify right side
    2,295.33x = 2,244,019.03
  5. Step 5: Solve for x
    x = 2,244,019.03/2,295.33
  6. Step 6: Final answer
    x = 977.65

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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.