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Finding the Fourth Proportional to 2,632.71, 3,633.35 and 1,453.89

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Solution

The fourth proportional to 2,632.71, 3,633.35 and 1,453.89 is: 2,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.71 : 3,633.35 = 1,453.89 : x
  2. Step 2: Convert to fraction form
    2,632.71/3,633.35 = 1,453.89/x
  3. Step 3: Cross multiply
    2,632.71x = 3,633.35 × 1,453.89
  4. Step 4: Simplify right side
    2,632.71x = 5,282,483.96
  5. Step 5: Solve for x
    x = 5,282,483.96/2,632.71
  6. Step 6: Final answer
    x = 2,006.48

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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.