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Finding the Fourth Proportional to 1,779.93, 2,456.31 and 993.99

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Solution

The fourth proportional to 1,779.93, 2,456.31 and 993.99 is: 1,371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.93 : 2,456.31 = 993.99 : x
  2. Step 2: Convert to fraction form
    1,779.93/2,456.31 = 993.99/x
  3. Step 3: Cross multiply
    1,779.93x = 2,456.31 × 993.99
  4. Step 4: Simplify right side
    1,779.93x = 2,441,547.58
  5. Step 5: Solve for x
    x = 2,441,547.58/1,779.93
  6. Step 6: Final answer
    x = 1,371.71

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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.