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Finding the Fourth Proportional to 3,296.98, 4,551.07 and 1,970.20

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Solution

The fourth proportional to 3,296.98, 4,551.07 and 1,970.20 is: 2,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.98 : 4,551.07 = 1,970.20 : x
  2. Step 2: Convert to fraction form
    3,296.98/4,551.07 = 1,970.20/x
  3. Step 3: Cross multiply
    3,296.98x = 4,551.07 × 1,970.20
  4. Step 4: Simplify right side
    3,296.98x = 8,966,518.11
  5. Step 5: Solve for x
    x = 8,966,518.11/3,296.98
  6. Step 6: Final answer
    x = 2,719.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.