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Finding the Fourth Proportional to 4,698.88, 7,048.26 and 1,411.88

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Solution

The fourth proportional to 4,698.88, 7,048.26 and 1,411.88 is: 2,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.88 : 7,048.26 = 1,411.88 : x
  2. Step 2: Convert to fraction form
    4,698.88/7,048.26 = 1,411.88/x
  3. Step 3: Cross multiply
    4,698.88x = 7,048.26 × 1,411.88
  4. Step 4: Simplify right side
    4,698.88x = 9,951,297.33
  5. Step 5: Solve for x
    x = 9,951,297.33/4,698.88
  6. Step 6: Final answer
    x = 2,117.80

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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.