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Finding the Fourth Proportional to 1,841.54, 2,762.31 and 745.91

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Solution

The fourth proportional to 1,841.54, 2,762.31 and 745.91 is: 1,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.54 : 2,762.31 = 745.91 : x
  2. Step 2: Convert to fraction form
    1,841.54/2,762.31 = 745.91/x
  3. Step 3: Cross multiply
    1,841.54x = 2,762.31 × 745.91
  4. Step 4: Simplify right side
    1,841.54x = 2,060,420.84
  5. Step 5: Solve for x
    x = 2,060,420.84/1,841.54
  6. Step 6: Final answer
    x = 1,118.86

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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.