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Finding the Fourth Proportional to 1,833.02, 2,749.08 and 722.42

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Solution

The fourth proportional to 1,833.02, 2,749.08 and 722.42 is: 1,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.02 : 2,749.08 = 722.42 : x
  2. Step 2: Convert to fraction form
    1,833.02/2,749.08 = 722.42/x
  3. Step 3: Cross multiply
    1,833.02x = 2,749.08 × 722.42
  4. Step 4: Simplify right side
    1,833.02x = 1,985,990.37
  5. Step 5: Solve for x
    x = 1,985,990.37/1,833.02
  6. Step 6: Final answer
    x = 1,083.45

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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.