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Finding the Fourth Proportional to 2,875.96, 4,310.70 and 2,224.72

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Solution

The fourth proportional to 2,875.96, 4,310.70 and 2,224.72 is: 3,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.96 : 4,310.70 = 2,224.72 : x
  2. Step 2: Convert to fraction form
    2,875.96/4,310.70 = 2,224.72/x
  3. Step 3: Cross multiply
    2,875.96x = 4,310.70 × 2,224.72
  4. Step 4: Simplify right side
    2,875.96x = 9,590,100.50
  5. Step 5: Solve for x
    x = 9,590,100.50/2,875.96
  6. Step 6: Final answer
    x = 3,334.57

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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.