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Finding the Fourth Proportional to 2,670.98, 4,006.61 and 823.36

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Solution

The fourth proportional to 2,670.98, 4,006.61 and 823.36 is: 1,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.98 : 4,006.61 = 823.36 : x
  2. Step 2: Convert to fraction form
    2,670.98/4,006.61 = 823.36/x
  3. Step 3: Cross multiply
    2,670.98x = 4,006.61 × 823.36
  4. Step 4: Simplify right side
    2,670.98x = 3,298,878.29
  5. Step 5: Solve for x
    x = 3,298,878.29/2,670.98
  6. Step 6: Final answer
    x = 1,235.08

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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.