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Finding the Fourth Proportional to 2,112.58, 2,915.73 and 1,758.03

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Solution

The fourth proportional to 2,112.58, 2,915.73 and 1,758.03 is: 2,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.58 : 2,915.73 = 1,758.03 : x
  2. Step 2: Convert to fraction form
    2,112.58/2,915.73 = 1,758.03/x
  3. Step 3: Cross multiply
    2,112.58x = 2,915.73 × 1,758.03
  4. Step 4: Simplify right side
    2,112.58x = 5,125,945.50
  5. Step 5: Solve for x
    x = 5,125,945.50/2,112.58
  6. Step 6: Final answer
    x = 2,426.39

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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.