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Finding the Fourth Proportional to 2,632.58, 3,632.91 and 1,453.63

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Solution

The fourth proportional to 2,632.58, 3,632.91 and 1,453.63 is: 2,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.58 : 3,632.91 = 1,453.63 : x
  2. Step 2: Convert to fraction form
    2,632.58/3,632.91 = 1,453.63/x
  3. Step 3: Cross multiply
    2,632.58x = 3,632.91 × 1,453.63
  4. Step 4: Simplify right side
    2,632.58x = 5,280,892.43
  5. Step 5: Solve for x
    x = 5,280,892.43/2,632.58
  6. Step 6: Final answer
    x = 2,005.98

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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.