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Finding the Fourth Proportional to 2,054.69, 2,837.90 and 1,390.39

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Solution

The fourth proportional to 2,054.69, 2,837.90 and 1,390.39 is: 1,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.69 : 2,837.90 = 1,390.39 : x
  2. Step 2: Convert to fraction form
    2,054.69/2,837.90 = 1,390.39/x
  3. Step 3: Cross multiply
    2,054.69x = 2,837.90 × 1,390.39
  4. Step 4: Simplify right side
    2,054.69x = 3,945,787.78
  5. Step 5: Solve for x
    x = 3,945,787.78/2,054.69
  6. Step 6: Final answer
    x = 1,920.38

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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.