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Finding the Fourth Proportional to 3,478.06, 4,798.51 and 1,984.89

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Solution

The fourth proportional to 3,478.06, 4,798.51 and 1,984.89 is: 2,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.06 : 4,798.51 = 1,984.89 : x
  2. Step 2: Convert to fraction form
    3,478.06/4,798.51 = 1,984.89/x
  3. Step 3: Cross multiply
    3,478.06x = 4,798.51 × 1,984.89
  4. Step 4: Simplify right side
    3,478.06x = 9,524,514.51
  5. Step 5: Solve for x
    x = 9,524,514.51/3,478.06
  6. Step 6: Final answer
    x = 2,738.46

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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.