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Finding the Fourth Proportional to 1,645.40, 2,462.70 and 1,645.40

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Solution

The fourth proportional to 1,645.40, 2,462.70 and 1,645.40 is: 2,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.40 : 2,462.70 = 1,645.40 : x
  2. Step 2: Convert to fraction form
    1,645.40/2,462.70 = 1,645.40/x
  3. Step 3: Cross multiply
    1,645.40x = 2,462.70 × 1,645.40
  4. Step 4: Simplify right side
    1,645.40x = 4,052,126.58
  5. Step 5: Solve for x
    x = 4,052,126.58/1,645.40
  6. Step 6: Final answer
    x = 2,462.70

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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.