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Finding the Fourth Proportional to 1,937.97, 2,672.28 and 1,533.50

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Solution

The fourth proportional to 1,937.97, 2,672.28 and 1,533.50 is: 2,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.97 : 2,672.28 = 1,533.50 : x
  2. Step 2: Convert to fraction form
    1,937.97/2,672.28 = 1,533.50/x
  3. Step 3: Cross multiply
    1,937.97x = 2,672.28 × 1,533.50
  4. Step 4: Simplify right side
    1,937.97x = 4,097,941.38
  5. Step 5: Solve for x
    x = 4,097,941.38/1,937.97
  6. Step 6: Final answer
    x = 2,114.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.