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Finding the Fourth Proportional to 2,902.42, 4,354.23 and 1,420.18

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Solution

The fourth proportional to 2,902.42, 4,354.23 and 1,420.18 is: 2,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.42 : 4,354.23 = 1,420.18 : x
  2. Step 2: Convert to fraction form
    2,902.42/4,354.23 = 1,420.18/x
  3. Step 3: Cross multiply
    2,902.42x = 4,354.23 × 1,420.18
  4. Step 4: Simplify right side
    2,902.42x = 6,183,790.36
  5. Step 5: Solve for x
    x = 6,183,790.36/2,902.42
  6. Step 6: Final answer
    x = 2,130.56

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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.