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Finding the Fourth Proportional to 2,964.46, 4,442.10 and 2,085.40

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Solution

The fourth proportional to 2,964.46, 4,442.10 and 2,085.40 is: 3,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.46 : 4,442.10 = 2,085.40 : x
  2. Step 2: Convert to fraction form
    2,964.46/4,442.10 = 2,085.40/x
  3. Step 3: Cross multiply
    2,964.46x = 4,442.10 × 2,085.40
  4. Step 4: Simplify right side
    2,964.46x = 9,263,555.34
  5. Step 5: Solve for x
    x = 9,263,555.34/2,964.46
  6. Step 6: Final answer
    x = 3,124.87

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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.