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Finding the Fourth Proportional to 2,100.08, 3,148.20 and 800.48

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Solution

The fourth proportional to 2,100.08, 3,148.20 and 800.48 is: 1,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.08 : 3,148.20 = 800.48 : x
  2. Step 2: Convert to fraction form
    2,100.08/3,148.20 = 800.48/x
  3. Step 3: Cross multiply
    2,100.08x = 3,148.20 × 800.48
  4. Step 4: Simplify right side
    2,100.08x = 2,520,071.14
  5. Step 5: Solve for x
    x = 2,520,071.14/2,100.08
  6. Step 6: Final answer
    x = 1,199.99

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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.