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Finding the Fourth Proportional to 2,876.94, 4,315.32 and 2,410.38

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Solution

The fourth proportional to 2,876.94, 4,315.32 and 2,410.38 is: 3,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.94 : 4,315.32 = 2,410.38 : x
  2. Step 2: Convert to fraction form
    2,876.94/4,315.32 = 2,410.38/x
  3. Step 3: Cross multiply
    2,876.94x = 4,315.32 × 2,410.38
  4. Step 4: Simplify right side
    2,876.94x = 10,401,561.02
  5. Step 5: Solve for x
    x = 10,401,561.02/2,876.94
  6. Step 6: Final answer
    x = 3,615.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.