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Finding the Fourth Proportional to 2,287.38, 3,157.04 and 1,292.67

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Solution

The fourth proportional to 2,287.38, 3,157.04 and 1,292.67 is: 1,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.38 : 3,157.04 = 1,292.67 : x
  2. Step 2: Convert to fraction form
    2,287.38/3,157.04 = 1,292.67/x
  3. Step 3: Cross multiply
    2,287.38x = 3,157.04 × 1,292.67
  4. Step 4: Simplify right side
    2,287.38x = 4,081,010.90
  5. Step 5: Solve for x
    x = 4,081,010.90/2,287.38
  6. Step 6: Final answer
    x = 1,784.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.