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Finding the Fourth Proportional to 2,057.90, 2,838 and 1,310.54

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Solution

The fourth proportional to 2,057.90, 2,838 and 1,310.54 is: 1,807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.90 : 2,838 = 1,310.54 : x
  2. Step 2: Convert to fraction form
    2,057.90/2,838 = 1,310.54/x
  3. Step 3: Cross multiply
    2,057.90x = 2,838 × 1,310.54
  4. Step 4: Simplify right side
    2,057.90x = 3,719,312.52
  5. Step 5: Solve for x
    x = 3,719,312.52/2,057.90
  6. Step 6: Final answer
    x = 1,807.33

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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.