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Finding the Fourth Proportional to 1,779.68, 2,456.06 and 1,150.31

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Solution

The fourth proportional to 1,779.68, 2,456.06 and 1,150.31 is: 1,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.68 : 2,456.06 = 1,150.31 : x
  2. Step 2: Convert to fraction form
    1,779.68/2,456.06 = 1,150.31/x
  3. Step 3: Cross multiply
    1,779.68x = 2,456.06 × 1,150.31
  4. Step 4: Simplify right side
    1,779.68x = 2,825,230.77
  5. Step 5: Solve for x
    x = 2,825,230.77/1,779.68
  6. Step 6: Final answer
    x = 1,587.49

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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.