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Finding the Fourth Proportional to 1,937.52, 2,672.54 and 1,151

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Solution

The fourth proportional to 1,937.52, 2,672.54 and 1,151 is: 1,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.52 : 2,672.54 = 1,151 : x
  2. Step 2: Convert to fraction form
    1,937.52/2,672.54 = 1,151/x
  3. Step 3: Cross multiply
    1,937.52x = 2,672.54 × 1,151
  4. Step 4: Simplify right side
    1,937.52x = 3,076,093.54
  5. Step 5: Solve for x
    x = 3,076,093.54/1,937.52
  6. Step 6: Final answer
    x = 1,587.64

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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.