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Finding the Fourth Proportional to 2,065.08, 3,098.72 and 969.46

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Solution

The fourth proportional to 2,065.08, 3,098.72 and 969.46 is: 1,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.08 : 3,098.72 = 969.46 : x
  2. Step 2: Convert to fraction form
    2,065.08/3,098.72 = 969.46/x
  3. Step 3: Cross multiply
    2,065.08x = 3,098.72 × 969.46
  4. Step 4: Simplify right side
    2,065.08x = 3,004,079.77
  5. Step 5: Solve for x
    x = 3,004,079.77/2,065.08
  6. Step 6: Final answer
    x = 1,454.70

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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.