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Finding the Fourth Proportional to 1,785.66, 2,676.63 and 746.26

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Solution

The fourth proportional to 1,785.66, 2,676.63 and 746.26 is: 1,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.66 : 2,676.63 = 746.26 : x
  2. Step 2: Convert to fraction form
    1,785.66/2,676.63 = 746.26/x
  3. Step 3: Cross multiply
    1,785.66x = 2,676.63 × 746.26
  4. Step 4: Simplify right side
    1,785.66x = 1,997,458.17
  5. Step 5: Solve for x
    x = 1,997,458.17/1,785.66
  6. Step 6: Final answer
    x = 1,118.61

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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.