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Finding the Fourth Proportional to 2,112.95, 2,915.87 and 1,181.45

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Solution

The fourth proportional to 2,112.95, 2,915.87 and 1,181.45 is: 1,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.95 : 2,915.87 = 1,181.45 : x
  2. Step 2: Convert to fraction form
    2,112.95/2,915.87 = 1,181.45/x
  3. Step 3: Cross multiply
    2,112.95x = 2,915.87 × 1,181.45
  4. Step 4: Simplify right side
    2,112.95x = 3,444,954.61
  5. Step 5: Solve for x
    x = 3,444,954.61/2,112.95
  6. Step 6: Final answer
    x = 1,630.40

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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.