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Finding the Fourth Proportional to 2,102.96, 2,881.07 and 2,024.14

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Solution

The fourth proportional to 2,102.96, 2,881.07 and 2,024.14 is: 2,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.96 : 2,881.07 = 2,024.14 : x
  2. Step 2: Convert to fraction form
    2,102.96/2,881.07 = 2,024.14/x
  3. Step 3: Cross multiply
    2,102.96x = 2,881.07 × 2,024.14
  4. Step 4: Simplify right side
    2,102.96x = 5,831,671.71
  5. Step 5: Solve for x
    x = 5,831,671.71/2,102.96
  6. Step 6: Final answer
    x = 2,773.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.