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Finding the Fourth Proportional to 2,128.47, 3,172.58 and 2,024.49

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Solution

The fourth proportional to 2,128.47, 3,172.58 and 2,024.49 is: 3,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.47 : 3,172.58 = 2,024.49 : x
  2. Step 2: Convert to fraction form
    2,128.47/3,172.58 = 2,024.49/x
  3. Step 3: Cross multiply
    2,128.47x = 3,172.58 × 2,024.49
  4. Step 4: Simplify right side
    2,128.47x = 6,422,864.08
  5. Step 5: Solve for x
    x = 6,422,864.08/2,128.47
  6. Step 6: Final answer
    x = 3,017.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.