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Finding the Fourth Proportional to 1,833.58, 2,749.68 and 737.57

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Solution

The fourth proportional to 1,833.58, 2,749.68 and 737.57 is: 1,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.58 : 2,749.68 = 737.57 : x
  2. Step 2: Convert to fraction form
    1,833.58/2,749.68 = 737.57/x
  3. Step 3: Cross multiply
    1,833.58x = 2,749.68 × 737.57
  4. Step 4: Simplify right side
    1,833.58x = 2,028,081.48
  5. Step 5: Solve for x
    x = 2,028,081.48/1,833.58
  6. Step 6: Final answer
    x = 1,106.08

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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.