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Finding the Fourth Proportional to 1,374.73, 1,896.95 and 815.07

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Solution

The fourth proportional to 1,374.73, 1,896.95 and 815.07 is: 1,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.73 : 1,896.95 = 815.07 : x
  2. Step 2: Convert to fraction form
    1,374.73/1,896.95 = 815.07/x
  3. Step 3: Cross multiply
    1,374.73x = 1,896.95 × 815.07
  4. Step 4: Simplify right side
    1,374.73x = 1,546,147.04
  5. Step 5: Solve for x
    x = 1,546,147.04/1,374.73
  6. Step 6: Final answer
    x = 1,124.69

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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.