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Finding the Fourth Proportional to 2,901.74, 4,346.79 and 1,339.63

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Solution

The fourth proportional to 2,901.74, 4,346.79 and 1,339.63 is: 2,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.74 : 4,346.79 = 1,339.63 : x
  2. Step 2: Convert to fraction form
    2,901.74/4,346.79 = 1,339.63/x
  3. Step 3: Cross multiply
    2,901.74x = 4,346.79 × 1,339.63
  4. Step 4: Simplify right side
    2,901.74x = 5,823,090.29
  5. Step 5: Solve for x
    x = 5,823,090.29/2,901.74
  6. Step 6: Final answer
    x = 2,006.76

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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.