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Finding the Fourth Proportional to 2,148.93, 3,224.41 and 1,564.52

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Solution

The fourth proportional to 2,148.93, 3,224.41 and 1,564.52 is: 2,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.93 : 3,224.41 = 1,564.52 : x
  2. Step 2: Convert to fraction form
    2,148.93/3,224.41 = 1,564.52/x
  3. Step 3: Cross multiply
    2,148.93x = 3,224.41 × 1,564.52
  4. Step 4: Simplify right side
    2,148.93x = 5,044,633.90
  5. Step 5: Solve for x
    x = 5,044,633.90/2,148.93
  6. Step 6: Final answer
    x = 2,347.51

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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.