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Finding the Fourth Proportional to 1,380, 1,905.98 and 937.16

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Solution

The fourth proportional to 1,380, 1,905.98 and 937.16 is: 1,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380 : 1,905.98 = 937.16 : x
  2. Step 2: Convert to fraction form
    1,380/1,905.98 = 937.16/x
  3. Step 3: Cross multiply
    1,380x = 1,905.98 × 937.16
  4. Step 4: Simplify right side
    1,380x = 1,786,208.22
  5. Step 5: Solve for x
    x = 1,786,208.22/1,380
  6. Step 6: Final answer
    x = 1,294.35

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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.