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Finding the Fourth Proportional to 2,998.86, 4,498.29 and 1,051.05

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Solution

The fourth proportional to 2,998.86, 4,498.29 and 1,051.05 is: 1,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.86 : 4,498.29 = 1,051.05 : x
  2. Step 2: Convert to fraction form
    2,998.86/4,498.29 = 1,051.05/x
  3. Step 3: Cross multiply
    2,998.86x = 4,498.29 × 1,051.05
  4. Step 4: Simplify right side
    2,998.86x = 4,727,927.70
  5. Step 5: Solve for x
    x = 4,727,927.70/2,998.86
  6. Step 6: Final answer
    x = 1,576.58

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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.