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Finding the Fourth Proportional to 2,967.95, 4,446.21 and 1,665.47

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Solution

The fourth proportional to 2,967.95, 4,446.21 and 1,665.47 is: 2,495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.95 : 4,446.21 = 1,665.47 : x
  2. Step 2: Convert to fraction form
    2,967.95/4,446.21 = 1,665.47/x
  3. Step 3: Cross multiply
    2,967.95x = 4,446.21 × 1,665.47
  4. Step 4: Simplify right side
    2,967.95x = 7,405,029.37
  5. Step 5: Solve for x
    x = 7,405,029.37/2,967.95
  6. Step 6: Final answer
    x = 2,495.00

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Why These Related Problems?

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