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Finding the Fourth Proportional to 3,100.48, 4,649.76 and 2,896

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Solution

The fourth proportional to 3,100.48, 4,649.76 and 2,896 is: 4,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.48 : 4,649.76 = 2,896 : x
  2. Step 2: Convert to fraction form
    3,100.48/4,649.76 = 2,896/x
  3. Step 3: Cross multiply
    3,100.48x = 4,649.76 × 2,896
  4. Step 4: Simplify right side
    3,100.48x = 13,465,704.96
  5. Step 5: Solve for x
    x = 13,465,704.96/3,100.48
  6. Step 6: Final answer
    x = 4,343.10

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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.