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Finding the Fourth Proportional to 4,698.62, 7,049 and 1,411.77

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Solution

The fourth proportional to 4,698.62, 7,049 and 1,411.77 is: 2,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.62 : 7,049 = 1,411.77 : x
  2. Step 2: Convert to fraction form
    4,698.62/7,049 = 1,411.77/x
  3. Step 3: Cross multiply
    4,698.62x = 7,049 × 1,411.77
  4. Step 4: Simplify right side
    4,698.62x = 9,951,566.73
  5. Step 5: Solve for x
    x = 9,951,566.73/4,698.62
  6. Step 6: Final answer
    x = 2,117.98

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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.