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Finding the Fourth Proportional to 2,685.21, 4,027.32 and 930.21

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Solution

The fourth proportional to 2,685.21, 4,027.32 and 930.21 is: 1,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.21 : 4,027.32 = 930.21 : x
  2. Step 2: Convert to fraction form
    2,685.21/4,027.32 = 930.21/x
  3. Step 3: Cross multiply
    2,685.21x = 4,027.32 × 930.21
  4. Step 4: Simplify right side
    2,685.21x = 3,746,253.34
  5. Step 5: Solve for x
    x = 3,746,253.34/2,685.21
  6. Step 6: Final answer
    x = 1,395.14

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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.