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Finding the Fourth Proportional to 2,172.39, 2,999.23 and 1,674.07

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Solution

The fourth proportional to 2,172.39, 2,999.23 and 1,674.07 is: 2,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.39 : 2,999.23 = 1,674.07 : x
  2. Step 2: Convert to fraction form
    2,172.39/2,999.23 = 1,674.07/x
  3. Step 3: Cross multiply
    2,172.39x = 2,999.23 × 1,674.07
  4. Step 4: Simplify right side
    2,172.39x = 5,020,909.28
  5. Step 5: Solve for x
    x = 5,020,909.28/2,172.39
  6. Step 6: Final answer
    x = 2,311.24

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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.