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Finding the Fourth Proportional to 2,809.62, 3,880.71 and 1,928.34

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Solution

The fourth proportional to 2,809.62, 3,880.71 and 1,928.34 is: 2,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.62 : 3,880.71 = 1,928.34 : x
  2. Step 2: Convert to fraction form
    2,809.62/3,880.71 = 1,928.34/x
  3. Step 3: Cross multiply
    2,809.62x = 3,880.71 × 1,928.34
  4. Step 4: Simplify right side
    2,809.62x = 7,483,328.32
  5. Step 5: Solve for x
    x = 7,483,328.32/2,809.62
  6. Step 6: Final answer
    x = 2,663.47

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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.