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Finding the Fourth Proportional to 1,906.16, 2,643.86 and 1,828.40

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Solution

The fourth proportional to 1,906.16, 2,643.86 and 1,828.40 is: 2,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.16 : 2,643.86 = 1,828.40 : x
  2. Step 2: Convert to fraction form
    1,906.16/2,643.86 = 1,828.40/x
  3. Step 3: Cross multiply
    1,906.16x = 2,643.86 × 1,828.40
  4. Step 4: Simplify right side
    1,906.16x = 4,834,033.62
  5. Step 5: Solve for x
    x = 4,834,033.62/1,906.16
  6. Step 6: Final answer
    x = 2,536.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.