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Finding the Fourth Proportional to 1,779.90, 2,456.26 and 983.24

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Solution

The fourth proportional to 1,779.90, 2,456.26 and 983.24 is: 1,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.90 : 2,456.26 = 983.24 : x
  2. Step 2: Convert to fraction form
    1,779.90/2,456.26 = 983.24/x
  3. Step 3: Cross multiply
    1,779.90x = 2,456.26 × 983.24
  4. Step 4: Simplify right side
    1,779.90x = 2,415,093.08
  5. Step 5: Solve for x
    x = 2,415,093.08/1,779.90
  6. Step 6: Final answer
    x = 1,356.87

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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.