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Finding the Fourth Proportional to 2,533.47, 3,794.03 and 1,434.51

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Solution

The fourth proportional to 2,533.47, 3,794.03 and 1,434.51 is: 2,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.47 : 3,794.03 = 1,434.51 : x
  2. Step 2: Convert to fraction form
    2,533.47/3,794.03 = 1,434.51/x
  3. Step 3: Cross multiply
    2,533.47x = 3,794.03 × 1,434.51
  4. Step 4: Simplify right side
    2,533.47x = 5,442,555.01
  5. Step 5: Solve for x
    x = 5,442,555.01/2,533.47
  6. Step 6: Final answer
    x = 2,148.26

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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.