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Finding the Fourth Proportional to 1,779.09, 2,455.21 and 982.45

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Solution

The fourth proportional to 1,779.09, 2,455.21 and 982.45 is: 1,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.09 : 2,455.21 = 982.45 : x
  2. Step 2: Convert to fraction form
    1,779.09/2,455.21 = 982.45/x
  3. Step 3: Cross multiply
    1,779.09x = 2,455.21 × 982.45
  4. Step 4: Simplify right side
    1,779.09x = 2,412,121.06
  5. Step 5: Solve for x
    x = 2,412,121.06/1,779.09
  6. Step 6: Final answer
    x = 1,355.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.