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Finding the Fourth Proportional to 2,646.06, 3,969.06 and 698.10

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Solution

The fourth proportional to 2,646.06, 3,969.06 and 698.10 is: 1,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.06 : 3,969.06 = 698.10 : x
  2. Step 2: Convert to fraction form
    2,646.06/3,969.06 = 698.10/x
  3. Step 3: Cross multiply
    2,646.06x = 3,969.06 × 698.10
  4. Step 4: Simplify right side
    2,646.06x = 2,770,800.79
  5. Step 5: Solve for x
    x = 2,770,800.79/2,646.06
  6. Step 6: Final answer
    x = 1,047.14

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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.