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Finding the Fourth Proportional to 1,884.90, 2,838.38 and 1,368.52

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Solution

The fourth proportional to 1,884.90, 2,838.38 and 1,368.52 is: 2,060.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.90 : 2,838.38 = 1,368.52 : x
  2. Step 2: Convert to fraction form
    1,884.90/2,838.38 = 1,368.52/x
  3. Step 3: Cross multiply
    1,884.90x = 2,838.38 × 1,368.52
  4. Step 4: Simplify right side
    1,884.90x = 3,884,379.80
  5. Step 5: Solve for x
    x = 3,884,379.80/1,884.90
  6. Step 6: Final answer
    x = 2,060.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.