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Finding the Fourth Proportional to 1,449.23, 2,172.02 and 832.01

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Solution

The fourth proportional to 1,449.23, 2,172.02 and 832.01 is: 1,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.23 : 2,172.02 = 832.01 : x
  2. Step 2: Convert to fraction form
    1,449.23/2,172.02 = 832.01/x
  3. Step 3: Cross multiply
    1,449.23x = 2,172.02 × 832.01
  4. Step 4: Simplify right side
    1,449.23x = 1,807,127.34
  5. Step 5: Solve for x
    x = 1,807,127.34/1,449.23
  6. Step 6: Final answer
    x = 1,246.96

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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.