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Finding the Fourth Proportional to 2,901.95, 4,349.14 and 1,169.63

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Solution

The fourth proportional to 2,901.95, 4,349.14 and 1,169.63 is: 1,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.95 : 4,349.14 = 1,169.63 : x
  2. Step 2: Convert to fraction form
    2,901.95/4,349.14 = 1,169.63/x
  3. Step 3: Cross multiply
    2,901.95x = 4,349.14 × 1,169.63
  4. Step 4: Simplify right side
    2,901.95x = 5,086,857.02
  5. Step 5: Solve for x
    x = 5,086,857.02/2,901.95
  6. Step 6: Final answer
    x = 1,752.91

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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.