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Finding the Fourth Proportional to 1,394.58, 2,099.59 and 1,154.82

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Solution

The fourth proportional to 1,394.58, 2,099.59 and 1,154.82 is: 1,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.58 : 2,099.59 = 1,154.82 : x
  2. Step 2: Convert to fraction form
    1,394.58/2,099.59 = 1,154.82/x
  3. Step 3: Cross multiply
    1,394.58x = 2,099.59 × 1,154.82
  4. Step 4: Simplify right side
    1,394.58x = 2,424,648.52
  5. Step 5: Solve for x
    x = 2,424,648.52/1,394.58
  6. Step 6: Final answer
    x = 1,738.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.