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Finding the Fourth Proportional to 2,686.34, 4,029.60 and 738.92

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Solution

The fourth proportional to 2,686.34, 4,029.60 and 738.92 is: 1,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.34 : 4,029.60 = 738.92 : x
  2. Step 2: Convert to fraction form
    2,686.34/4,029.60 = 738.92/x
  3. Step 3: Cross multiply
    2,686.34x = 4,029.60 × 738.92
  4. Step 4: Simplify right side
    2,686.34x = 2,977,552.03
  5. Step 5: Solve for x
    x = 2,977,552.03/2,686.34
  6. Step 6: Final answer
    x = 1,108.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.