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Finding the Fourth Proportional to 2,897.31, 4,346.30 and 1,049.30

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Solution

The fourth proportional to 2,897.31, 4,346.30 and 1,049.30 is: 1,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.31 : 4,346.30 = 1,049.30 : x
  2. Step 2: Convert to fraction form
    2,897.31/4,346.30 = 1,049.30/x
  3. Step 3: Cross multiply
    2,897.31x = 4,346.30 × 1,049.30
  4. Step 4: Simplify right side
    2,897.31x = 4,560,550.86
  5. Step 5: Solve for x
    x = 4,560,550.86/2,897.31
  6. Step 6: Final answer
    x = 1,574.06

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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.