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Finding the Fourth Proportional to 1,732.32, 2,603.44 and 1,667.68

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Solution

The fourth proportional to 1,732.32, 2,603.44 and 1,667.68 is: 2,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.32 : 2,603.44 = 1,667.68 : x
  2. Step 2: Convert to fraction form
    1,732.32/2,603.44 = 1,667.68/x
  3. Step 3: Cross multiply
    1,732.32x = 2,603.44 × 1,667.68
  4. Step 4: Simplify right side
    1,732.32x = 4,341,704.82
  5. Step 5: Solve for x
    x = 4,341,704.82/1,732.32
  6. Step 6: Final answer
    x = 2,506.29

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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.