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Finding the Fourth Proportional to 2,632.64, 3,633 and 1,453.76

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Solution

The fourth proportional to 2,632.64, 3,633 and 1,453.76 is: 2,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.64 : 3,633 = 1,453.76 : x
  2. Step 2: Convert to fraction form
    2,632.64/3,633 = 1,453.76/x
  3. Step 3: Cross multiply
    2,632.64x = 3,633 × 1,453.76
  4. Step 4: Simplify right side
    2,632.64x = 5,281,510.08
  5. Step 5: Solve for x
    x = 5,281,510.08/2,632.64
  6. Step 6: Final answer
    x = 2,006.16

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Why These Related Problems?

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