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Finding the Fourth Proportional to 2,809.38, 4,211.10 and 1,347.60

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Solution

The fourth proportional to 2,809.38, 4,211.10 and 1,347.60 is: 2,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.38 : 4,211.10 = 1,347.60 : x
  2. Step 2: Convert to fraction form
    2,809.38/4,211.10 = 1,347.60/x
  3. Step 3: Cross multiply
    2,809.38x = 4,211.10 × 1,347.60
  4. Step 4: Simplify right side
    2,809.38x = 5,674,878.36
  5. Step 5: Solve for x
    x = 5,674,878.36/2,809.38
  6. Step 6: Final answer
    x = 2,019.98

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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.