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Finding the Fourth Proportional to 2,647.04, 3,970.72 and 699.19

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Solution

The fourth proportional to 2,647.04, 3,970.72 and 699.19 is: 1,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.04 : 3,970.72 = 699.19 : x
  2. Step 2: Convert to fraction form
    2,647.04/3,970.72 = 699.19/x
  3. Step 3: Cross multiply
    2,647.04x = 3,970.72 × 699.19
  4. Step 4: Simplify right side
    2,647.04x = 2,776,278.66
  5. Step 5: Solve for x
    x = 2,776,278.66/2,647.04
  6. Step 6: Final answer
    x = 1,048.83

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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.