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Finding the Fourth Proportional to 2,876.41, 4,314.61 and 902.19

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Solution

The fourth proportional to 2,876.41, 4,314.61 and 902.19 is: 1,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.41 : 4,314.61 = 902.19 : x
  2. Step 2: Convert to fraction form
    2,876.41/4,314.61 = 902.19/x
  3. Step 3: Cross multiply
    2,876.41x = 4,314.61 × 902.19
  4. Step 4: Simplify right side
    2,876.41x = 3,892,598.00
  5. Step 5: Solve for x
    x = 3,892,598.00/2,876.41
  6. Step 6: Final answer
    x = 1,353.28

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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.