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Finding the Fourth Proportional to 2,281.20, 3,035.94 and 2,281.20

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Solution

The fourth proportional to 2,281.20, 3,035.94 and 2,281.20 is: 3,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.20 : 3,035.94 = 2,281.20 : x
  2. Step 2: Convert to fraction form
    2,281.20/3,035.94 = 2,281.20/x
  3. Step 3: Cross multiply
    2,281.20x = 3,035.94 × 2,281.20
  4. Step 4: Simplify right side
    2,281.20x = 6,925,586.33
  5. Step 5: Solve for x
    x = 6,925,586.33/2,281.20
  6. Step 6: Final answer
    x = 3,035.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.