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Finding the Fourth Proportional to 2,070.92, 3,101.52 and 1,337.06

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Solution

The fourth proportional to 2,070.92, 3,101.52 and 1,337.06 is: 2,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.92 : 3,101.52 = 1,337.06 : x
  2. Step 2: Convert to fraction form
    2,070.92/3,101.52 = 1,337.06/x
  3. Step 3: Cross multiply
    2,070.92x = 3,101.52 × 1,337.06
  4. Step 4: Simplify right side
    2,070.92x = 4,146,918.33
  5. Step 5: Solve for x
    x = 4,146,918.33/2,070.92
  6. Step 6: Final answer
    x = 2,002.45

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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.