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Finding the Fourth Proportional to 2,946.30, 4,073.67 and 2,577.30

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Solution

The fourth proportional to 2,946.30, 4,073.67 and 2,577.30 is: 3,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.30 : 4,073.67 = 2,577.30 : x
  2. Step 2: Convert to fraction form
    2,946.30/4,073.67 = 2,577.30/x
  3. Step 3: Cross multiply
    2,946.30x = 4,073.67 × 2,577.30
  4. Step 4: Simplify right side
    2,946.30x = 10,499,069.69
  5. Step 5: Solve for x
    x = 10,499,069.69/2,946.30
  6. Step 6: Final answer
    x = 3,563.48

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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.