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Finding the Fourth Proportional to 1,747.34, 2,620.81 and 651.58

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Solution

The fourth proportional to 1,747.34, 2,620.81 and 651.58 is: 977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.34 : 2,620.81 = 651.58 : x
  2. Step 2: Convert to fraction form
    1,747.34/2,620.81 = 651.58/x
  3. Step 3: Cross multiply
    1,747.34x = 2,620.81 × 651.58
  4. Step 4: Simplify right side
    1,747.34x = 1,707,667.38
  5. Step 5: Solve for x
    x = 1,707,667.38/1,747.34
  6. Step 6: Final answer
    x = 977.30

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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.