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Finding the Fourth Proportional to 2,101.75, 2,900.56 and 1,392.39

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Solution

The fourth proportional to 2,101.75, 2,900.56 and 1,392.39 is: 1,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.75 : 2,900.56 = 1,392.39 : x
  2. Step 2: Convert to fraction form
    2,101.75/2,900.56 = 1,392.39/x
  3. Step 3: Cross multiply
    2,101.75x = 2,900.56 × 1,392.39
  4. Step 4: Simplify right side
    2,101.75x = 4,038,709.87
  5. Step 5: Solve for x
    x = 4,038,709.87/2,101.75
  6. Step 6: Final answer
    x = 1,921.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.