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Finding the Fourth Proportional to 2,901.34, 4,351.95 and 1,169.50

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Solution

The fourth proportional to 2,901.34, 4,351.95 and 1,169.50 is: 1,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.34 : 4,351.95 = 1,169.50 : x
  2. Step 2: Convert to fraction form
    2,901.34/4,351.95 = 1,169.50/x
  3. Step 3: Cross multiply
    2,901.34x = 4,351.95 × 1,169.50
  4. Step 4: Simplify right side
    2,901.34x = 5,089,605.53
  5. Step 5: Solve for x
    x = 5,089,605.53/2,901.34
  6. Step 6: Final answer
    x = 1,754.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.