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Finding the Fourth Proportional to 3,293.30, 4,938.35 and 1,830.90

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Solution

The fourth proportional to 3,293.30, 4,938.35 and 1,830.90 is: 2,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.30 : 4,938.35 = 1,830.90 : x
  2. Step 2: Convert to fraction form
    3,293.30/4,938.35 = 1,830.90/x
  3. Step 3: Cross multiply
    3,293.30x = 4,938.35 × 1,830.90
  4. Step 4: Simplify right side
    3,293.30x = 9,041,625.02
  5. Step 5: Solve for x
    x = 9,041,625.02/3,293.30
  6. Step 6: Final answer
    x = 2,745.46

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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.