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Finding the Fourth Proportional to 2,287.16, 3,428.14 and 900.24

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Solution

The fourth proportional to 2,287.16, 3,428.14 and 900.24 is: 1,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.16 : 3,428.14 = 900.24 : x
  2. Step 2: Convert to fraction form
    2,287.16/3,428.14 = 900.24/x
  3. Step 3: Cross multiply
    2,287.16x = 3,428.14 × 900.24
  4. Step 4: Simplify right side
    2,287.16x = 3,086,148.75
  5. Step 5: Solve for x
    x = 3,086,148.75/2,287.16
  6. Step 6: Final answer
    x = 1,349.34

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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.