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Finding the Fourth Proportional to 2,967.66, 4,095.21 and 1,623.00

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Solution

The fourth proportional to 2,967.66, 4,095.21 and 1,623.00 is: 2,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.66 : 4,095.21 = 1,623.00 : x
  2. Step 2: Convert to fraction form
    2,967.66/4,095.21 = 1,623.00/x
  3. Step 3: Cross multiply
    2,967.66x = 4,095.21 × 1,623.00
  4. Step 4: Simplify right side
    2,967.66x = 6,646,532.54
  5. Step 5: Solve for x
    x = 6,646,532.54/2,967.66
  6. Step 6: Final answer
    x = 2,239.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.