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Finding the Fourth Proportional to 2,902.02, 4,354.53 and 1,586.71

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Solution

The fourth proportional to 2,902.02, 4,354.53 and 1,586.71 is: 2,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.02 : 4,354.53 = 1,586.71 : x
  2. Step 2: Convert to fraction form
    2,902.02/4,354.53 = 1,586.71/x
  3. Step 3: Cross multiply
    2,902.02x = 4,354.53 × 1,586.71
  4. Step 4: Simplify right side
    2,902.02x = 6,909,376.30
  5. Step 5: Solve for x
    x = 6,909,376.30/2,902.02
  6. Step 6: Final answer
    x = 2,380.89

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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.