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Finding the Fourth Proportional to 1,921.88, 2,886.30 and 1,767.53

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Solution

The fourth proportional to 1,921.88, 2,886.30 and 1,767.53 is: 2,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.88 : 2,886.30 = 1,767.53 : x
  2. Step 2: Convert to fraction form
    1,921.88/2,886.30 = 1,767.53/x
  3. Step 3: Cross multiply
    1,921.88x = 2,886.30 × 1,767.53
  4. Step 4: Simplify right side
    1,921.88x = 5,101,621.84
  5. Step 5: Solve for x
    x = 5,101,621.84/1,921.88
  6. Step 6: Final answer
    x = 2,654.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.