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Finding the Fourth Proportional to 2,899.02, 4,343.16 and 2,587.77

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Solution

The fourth proportional to 2,899.02, 4,343.16 and 2,587.77 is: 3,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.02 : 4,343.16 = 2,587.77 : x
  2. Step 2: Convert to fraction form
    2,899.02/4,343.16 = 2,587.77/x
  3. Step 3: Cross multiply
    2,899.02x = 4,343.16 × 2,587.77
  4. Step 4: Simplify right side
    2,899.02x = 11,239,099.15
  5. Step 5: Solve for x
    x = 11,239,099.15/2,899.02
  6. Step 6: Final answer
    x = 3,876.86

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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.