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Finding the Fourth Proportional to 2,646.24, 3,969.52 and 698.45

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Solution

The fourth proportional to 2,646.24, 3,969.52 and 698.45 is: 1,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.24 : 3,969.52 = 698.45 : x
  2. Step 2: Convert to fraction form
    2,646.24/3,969.52 = 698.45/x
  3. Step 3: Cross multiply
    2,646.24x = 3,969.52 × 698.45
  4. Step 4: Simplify right side
    2,646.24x = 2,772,491.40
  5. Step 5: Solve for x
    x = 2,772,491.40/2,646.24
  6. Step 6: Final answer
    x = 1,047.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.