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Finding the Fourth Proportional to 1,779.21, 2,455.26 and 982.53

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Solution

The fourth proportional to 1,779.21, 2,455.26 and 982.53 is: 1,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.21 : 2,455.26 = 982.53 : x
  2. Step 2: Convert to fraction form
    1,779.21/2,455.26 = 982.53/x
  3. Step 3: Cross multiply
    1,779.21x = 2,455.26 × 982.53
  4. Step 4: Simplify right side
    1,779.21x = 2,412,366.61
  5. Step 5: Solve for x
    x = 2,412,366.61/1,779.21
  6. Step 6: Final answer
    x = 1,355.86

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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.