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Finding the Fourth Proportional to 3,319, 4,580.22 and 1,922.56

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Solution

The fourth proportional to 3,319, 4,580.22 and 1,922.56 is: 2,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319 : 4,580.22 = 1,922.56 : x
  2. Step 2: Convert to fraction form
    3,319/4,580.22 = 1,922.56/x
  3. Step 3: Cross multiply
    3,319x = 4,580.22 × 1,922.56
  4. Step 4: Simplify right side
    3,319x = 8,805,747.76
  5. Step 5: Solve for x
    x = 8,805,747.76/3,319
  6. Step 6: Final answer
    x = 2,653.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.