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Finding the Fourth Proportional to 2,906.36, 4,009.28 and 1,842.32

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Solution

The fourth proportional to 2,906.36, 4,009.28 and 1,842.32 is: 2,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.36 : 4,009.28 = 1,842.32 : x
  2. Step 2: Convert to fraction form
    2,906.36/4,009.28 = 1,842.32/x
  3. Step 3: Cross multiply
    2,906.36x = 4,009.28 × 1,842.32
  4. Step 4: Simplify right side
    2,906.36x = 7,386,376.73
  5. Step 5: Solve for x
    x = 7,386,376.73/2,906.36
  6. Step 6: Final answer
    x = 2,541.45

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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.