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Finding the Fourth Proportional to 1,580.74, 2,182.44 and 1,083.22

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Solution

The fourth proportional to 1,580.74, 2,182.44 and 1,083.22 is: 1,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.74 : 2,182.44 = 1,083.22 : x
  2. Step 2: Convert to fraction form
    1,580.74/2,182.44 = 1,083.22/x
  3. Step 3: Cross multiply
    1,580.74x = 2,182.44 × 1,083.22
  4. Step 4: Simplify right side
    1,580.74x = 2,364,062.66
  5. Step 5: Solve for x
    x = 2,364,062.66/1,580.74
  6. Step 6: Final answer
    x = 1,495.54

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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.