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Finding the Fourth Proportional to 2,262, 3,127.68 and 1,795.44

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Solution

The fourth proportional to 2,262, 3,127.68 and 1,795.44 is: 2,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262 : 3,127.68 = 1,795.44 : x
  2. Step 2: Convert to fraction form
    2,262/3,127.68 = 1,795.44/x
  3. Step 3: Cross multiply
    2,262x = 3,127.68 × 1,795.44
  4. Step 4: Simplify right side
    2,262x = 5,615,561.78
  5. Step 5: Solve for x
    x = 5,615,561.78/2,262
  6. Step 6: Final answer
    x = 2,482.56

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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.