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Finding the Fourth Proportional to 2,194.52, 3,028.47 and 1,486.58

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Solution

The fourth proportional to 2,194.52, 3,028.47 and 1,486.58 is: 2,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.52 : 3,028.47 = 1,486.58 : x
  2. Step 2: Convert to fraction form
    2,194.52/3,028.47 = 1,486.58/x
  3. Step 3: Cross multiply
    2,194.52x = 3,028.47 × 1,486.58
  4. Step 4: Simplify right side
    2,194.52x = 4,502,062.93
  5. Step 5: Solve for x
    x = 4,502,062.93/2,194.52
  6. Step 6: Final answer
    x = 2,051.50

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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.