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Finding the Fourth Proportional to 2,262.78, 3,394.44 and 619.35

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Solution

The fourth proportional to 2,262.78, 3,394.44 and 619.35 is: 929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.78 : 3,394.44 = 619.35 : x
  2. Step 2: Convert to fraction form
    2,262.78/3,394.44 = 619.35/x
  3. Step 3: Cross multiply
    2,262.78x = 3,394.44 × 619.35
  4. Step 4: Simplify right side
    2,262.78x = 2,102,346.41
  5. Step 5: Solve for x
    x = 2,102,346.41/2,262.78
  6. Step 6: Final answer
    x = 929.10

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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.