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Finding the Fourth Proportional to 2,639.72, 3,644.52 and 1,645.40

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Solution

The fourth proportional to 2,639.72, 3,644.52 and 1,645.40 is: 2,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.72 : 3,644.52 = 1,645.40 : x
  2. Step 2: Convert to fraction form
    2,639.72/3,644.52 = 1,645.40/x
  3. Step 3: Cross multiply
    2,639.72x = 3,644.52 × 1,645.40
  4. Step 4: Simplify right side
    2,639.72x = 5,996,693.21
  5. Step 5: Solve for x
    x = 5,996,693.21/2,639.72
  6. Step 6: Final answer
    x = 2,271.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.