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Finding the Fourth Proportional to 3,298.07, 4,549.20 and 1,970.75

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Solution

The fourth proportional to 3,298.07, 4,549.20 and 1,970.75 is: 2,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.07 : 4,549.20 = 1,970.75 : x
  2. Step 2: Convert to fraction form
    3,298.07/4,549.20 = 1,970.75/x
  3. Step 3: Cross multiply
    3,298.07x = 4,549.20 × 1,970.75
  4. Step 4: Simplify right side
    3,298.07x = 8,965,335.90
  5. Step 5: Solve for x
    x = 8,965,335.90/3,298.07
  6. Step 6: Final answer
    x = 2,718.36

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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.