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Finding the Fourth Proportional to 2,289.02, 3,434.34 and 901.59

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Solution

The fourth proportional to 2,289.02, 3,434.34 and 901.59 is: 1,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.02 : 3,434.34 = 901.59 : x
  2. Step 2: Convert to fraction form
    2,289.02/3,434.34 = 901.59/x
  3. Step 3: Cross multiply
    2,289.02x = 3,434.34 × 901.59
  4. Step 4: Simplify right side
    2,289.02x = 3,096,366.60
  5. Step 5: Solve for x
    x = 3,096,366.60/2,289.02
  6. Step 6: Final answer
    x = 1,352.70

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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.