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Finding the Fourth Proportional to 2,289.42, 3,433.07 and 901.68

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Solution

The fourth proportional to 2,289.42, 3,433.07 and 901.68 is: 1,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.42 : 3,433.07 = 901.68 : x
  2. Step 2: Convert to fraction form
    2,289.42/3,433.07 = 901.68/x
  3. Step 3: Cross multiply
    2,289.42x = 3,433.07 × 901.68
  4. Step 4: Simplify right side
    2,289.42x = 3,095,526.05
  5. Step 5: Solve for x
    x = 3,095,526.05/2,289.42
  6. Step 6: Final answer
    x = 1,352.10

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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.