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Finding the Fourth Proportional to 2,646.45, 3,969.68 and 698.63

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Solution

The fourth proportional to 2,646.45, 3,969.68 and 698.63 is: 1,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.45 : 3,969.68 = 698.63 : x
  2. Step 2: Convert to fraction form
    2,646.45/3,969.68 = 698.63/x
  3. Step 3: Cross multiply
    2,646.45x = 3,969.68 × 698.63
  4. Step 4: Simplify right side
    2,646.45x = 2,773,314.20
  5. Step 5: Solve for x
    x = 2,773,314.20/2,646.45
  6. Step 6: Final answer
    x = 1,047.94

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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.