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Finding the Fourth Proportional to 2,035.69, 3,054.80 and 1,305.79

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Solution

The fourth proportional to 2,035.69, 3,054.80 and 1,305.79 is: 1,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.69 : 3,054.80 = 1,305.79 : x
  2. Step 2: Convert to fraction form
    2,035.69/3,054.80 = 1,305.79/x
  3. Step 3: Cross multiply
    2,035.69x = 3,054.80 × 1,305.79
  4. Step 4: Simplify right side
    2,035.69x = 3,988,927.29
  5. Step 5: Solve for x
    x = 3,988,927.29/2,035.69
  6. Step 6: Final answer
    x = 1,959.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.