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Finding the Fourth Proportional to 2,876.77, 4,315.20 and 902.35

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Solution

The fourth proportional to 2,876.77, 4,315.20 and 902.35 is: 1,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.77 : 4,315.20 = 902.35 : x
  2. Step 2: Convert to fraction form
    2,876.77/4,315.20 = 902.35/x
  3. Step 3: Cross multiply
    2,876.77x = 4,315.20 × 902.35
  4. Step 4: Simplify right side
    2,876.77x = 3,893,827.24
  5. Step 5: Solve for x
    x = 3,893,827.24/2,876.77
  6. Step 6: Final answer
    x = 1,353.54

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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.