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Finding the Fourth Proportional to 2,047.62, 3,071.41 and 1,354.12

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Solution

The fourth proportional to 2,047.62, 3,071.41 and 1,354.12 is: 2,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.62 : 3,071.41 = 1,354.12 : x
  2. Step 2: Convert to fraction form
    2,047.62/3,071.41 = 1,354.12/x
  3. Step 3: Cross multiply
    2,047.62x = 3,071.41 × 1,354.12
  4. Step 4: Simplify right side
    2,047.62x = 4,159,057.71
  5. Step 5: Solve for x
    x = 4,159,057.71/2,047.62
  6. Step 6: Final answer
    x = 2,031.17

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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.