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Finding the Fourth Proportional to 2,809.01, 4,211.39 and 1,698.18

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Solution

The fourth proportional to 2,809.01, 4,211.39 and 1,698.18 is: 2,545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.01 : 4,211.39 = 1,698.18 : x
  2. Step 2: Convert to fraction form
    2,809.01/4,211.39 = 1,698.18/x
  3. Step 3: Cross multiply
    2,809.01x = 4,211.39 × 1,698.18
  4. Step 4: Simplify right side
    2,809.01x = 7,151,710.41
  5. Step 5: Solve for x
    x = 7,151,710.41/2,809.01
  6. Step 6: Final answer
    x = 2,545.99

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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.