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Finding the Fourth Proportional to 2,943.72, 4,415.96 and 969.55

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Solution

The fourth proportional to 2,943.72, 4,415.96 and 969.55 is: 1,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.72 : 4,415.96 = 969.55 : x
  2. Step 2: Convert to fraction form
    2,943.72/4,415.96 = 969.55/x
  3. Step 3: Cross multiply
    2,943.72x = 4,415.96 × 969.55
  4. Step 4: Simplify right side
    2,943.72x = 4,281,483.21
  5. Step 5: Solve for x
    x = 4,281,483.21/2,943.72
  6. Step 6: Final answer
    x = 1,454.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.