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Finding the Fourth Proportional to 2,686.18, 4,028.28 and 930.72

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Solution

The fourth proportional to 2,686.18, 4,028.28 and 930.72 is: 1,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.18 : 4,028.28 = 930.72 : x
  2. Step 2: Convert to fraction form
    2,686.18/4,028.28 = 930.72/x
  3. Step 3: Cross multiply
    2,686.18x = 4,028.28 × 930.72
  4. Step 4: Simplify right side
    2,686.18x = 3,749,200.76
  5. Step 5: Solve for x
    x = 3,749,200.76/2,686.18
  6. Step 6: Final answer
    x = 1,395.74

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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.