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Finding the Fourth Proportional to 2,646.36, 3,969.22 and 698.72

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Solution

The fourth proportional to 2,646.36, 3,969.22 and 698.72 is: 1,048.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.36 : 3,969.22 = 698.72 : x
  2. Step 2: Convert to fraction form
    2,646.36/3,969.22 = 698.72/x
  3. Step 3: Cross multiply
    2,646.36x = 3,969.22 × 698.72
  4. Step 4: Simplify right side
    2,646.36x = 2,773,373.40
  5. Step 5: Solve for x
    x = 2,773,373.40/2,646.36
  6. Step 6: Final answer
    x = 1,048.00

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