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Finding the Fourth Proportional to 2,632.64, 3,633.08 and 1,453.68

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Solution

The fourth proportional to 2,632.64, 3,633.08 and 1,453.68 is: 2,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.64 : 3,633.08 = 1,453.68 : x
  2. Step 2: Convert to fraction form
    2,632.64/3,633.08 = 1,453.68/x
  3. Step 3: Cross multiply
    2,632.64x = 3,633.08 × 1,453.68
  4. Step 4: Simplify right side
    2,632.64x = 5,281,328.47
  5. Step 5: Solve for x
    x = 5,281,328.47/2,632.64
  6. Step 6: Final answer
    x = 2,006.10

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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.