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Finding the Fourth Proportional to 1,927.60, 2,886.44 and 1,767.22

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Solution

The fourth proportional to 1,927.60, 2,886.44 and 1,767.22 is: 2,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.60 : 2,886.44 = 1,767.22 : x
  2. Step 2: Convert to fraction form
    1,927.60/2,886.44 = 1,767.22/x
  3. Step 3: Cross multiply
    1,927.60x = 2,886.44 × 1,767.22
  4. Step 4: Simplify right side
    1,927.60x = 5,100,974.50
  5. Step 5: Solve for x
    x = 5,100,974.50/1,927.60
  6. Step 6: Final answer
    x = 2,646.28

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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.