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Finding the Fourth Proportional to 2,103.40, 2,881.67 and 2,024.57

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Solution

The fourth proportional to 2,103.40, 2,881.67 and 2,024.57 is: 2,773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.40 : 2,881.67 = 2,024.57 : x
  2. Step 2: Convert to fraction form
    2,103.40/2,881.67 = 2,024.57/x
  3. Step 3: Cross multiply
    2,103.40x = 2,881.67 × 2,024.57
  4. Step 4: Simplify right side
    2,103.40x = 5,834,142.63
  5. Step 5: Solve for x
    x = 5,834,142.63/2,103.40
  6. Step 6: Final answer
    x = 2,773.67

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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.