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Finding the Fourth Proportional to 2,142.45, 3,003.75 and 2,142.45

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Solution

The fourth proportional to 2,142.45, 3,003.75 and 2,142.45 is: 3,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.45 : 3,003.75 = 2,142.45 : x
  2. Step 2: Convert to fraction form
    2,142.45/3,003.75 = 2,142.45/x
  3. Step 3: Cross multiply
    2,142.45x = 3,003.75 × 2,142.45
  4. Step 4: Simplify right side
    2,142.45x = 6,435,384.19
  5. Step 5: Solve for x
    x = 6,435,384.19/2,142.45
  6. Step 6: Final answer
    x = 3,003.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.