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Finding the Fourth Proportional to 2,964.70, 4,442.82 and 2,178.55

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Solution

The fourth proportional to 2,964.70, 4,442.82 and 2,178.55 is: 3,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.70 : 4,442.82 = 2,178.55 : x
  2. Step 2: Convert to fraction form
    2,964.70/4,442.82 = 2,178.55/x
  3. Step 3: Cross multiply
    2,964.70x = 4,442.82 × 2,178.55
  4. Step 4: Simplify right side
    2,964.70x = 9,678,905.51
  5. Step 5: Solve for x
    x = 9,678,905.51/2,964.70
  6. Step 6: Final answer
    x = 3,264.72

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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.