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Finding the Fourth Proportional to 1,833.07, 2,749.70 and 534.64

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Solution

The fourth proportional to 1,833.07, 2,749.70 and 534.64 is: 801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.07 : 2,749.70 = 534.64 : x
  2. Step 2: Convert to fraction form
    1,833.07/2,749.70 = 534.64/x
  3. Step 3: Cross multiply
    1,833.07x = 2,749.70 × 534.64
  4. Step 4: Simplify right side
    1,833.07x = 1,470,099.61
  5. Step 5: Solve for x
    x = 1,470,099.61/1,833.07
  6. Step 6: Final answer
    x = 801.99

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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.