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Finding the Fourth Proportional to 2,283.52, 3,425.28 and 897.51

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Solution

The fourth proportional to 2,283.52, 3,425.28 and 897.51 is: 1,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.52 : 3,425.28 = 897.51 : x
  2. Step 2: Convert to fraction form
    2,283.52/3,425.28 = 897.51/x
  3. Step 3: Cross multiply
    2,283.52x = 3,425.28 × 897.51
  4. Step 4: Simplify right side
    2,283.52x = 3,074,223.05
  5. Step 5: Solve for x
    x = 3,074,223.05/2,283.52
  6. Step 6: Final answer
    x = 1,346.27

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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.