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Finding the Fourth Proportional to 1,393.23, 2,090.17 and 1,146.83

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Solution

The fourth proportional to 1,393.23, 2,090.17 and 1,146.83 is: 1,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.23 : 2,090.17 = 1,146.83 : x
  2. Step 2: Convert to fraction form
    1,393.23/2,090.17 = 1,146.83/x
  3. Step 3: Cross multiply
    1,393.23x = 2,090.17 × 1,146.83
  4. Step 4: Simplify right side
    1,393.23x = 2,397,060.64
  5. Step 5: Solve for x
    x = 2,397,060.64/1,393.23
  6. Step 6: Final answer
    x = 1,720.50

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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.