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Finding the Fourth Proportional to 1,586.73, 2,189.14 and 923.02

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Solution

The fourth proportional to 1,586.73, 2,189.14 and 923.02 is: 1,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.73 : 2,189.14 = 923.02 : x
  2. Step 2: Convert to fraction form
    1,586.73/2,189.14 = 923.02/x
  3. Step 3: Cross multiply
    1,586.73x = 2,189.14 × 923.02
  4. Step 4: Simplify right side
    1,586.73x = 2,020,620.00
  5. Step 5: Solve for x
    x = 2,020,620.00/1,586.73
  6. Step 6: Final answer
    x = 1,273.45

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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.