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Finding the Fourth Proportional to 2,943.76, 4,059.06 and 1,880.13

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Solution

The fourth proportional to 2,943.76, 4,059.06 and 1,880.13 is: 2,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.76 : 4,059.06 = 1,880.13 : x
  2. Step 2: Convert to fraction form
    2,943.76/4,059.06 = 1,880.13/x
  3. Step 3: Cross multiply
    2,943.76x = 4,059.06 × 1,880.13
  4. Step 4: Simplify right side
    2,943.76x = 7,631,556.39
  5. Step 5: Solve for x
    x = 7,631,556.39/2,943.76
  6. Step 6: Final answer
    x = 2,592.45

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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.