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Finding the Fourth Proportional to 2,901.20, 4,351.80 and 709.95

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Solution

The fourth proportional to 2,901.20, 4,351.80 and 709.95 is: 1,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.20 : 4,351.80 = 709.95 : x
  2. Step 2: Convert to fraction form
    2,901.20/4,351.80 = 709.95/x
  3. Step 3: Cross multiply
    2,901.20x = 4,351.80 × 709.95
  4. Step 4: Simplify right side
    2,901.20x = 3,089,560.41
  5. Step 5: Solve for x
    x = 3,089,560.41/2,901.20
  6. Step 6: Final answer
    x = 1,064.93

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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.