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Finding the Fourth Proportional to 1,586.15, 2,188.81 and 923.01

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Solution

The fourth proportional to 1,586.15, 2,188.81 and 923.01 is: 1,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.15 : 2,188.81 = 923.01 : x
  2. Step 2: Convert to fraction form
    1,586.15/2,188.81 = 923.01/x
  3. Step 3: Cross multiply
    1,586.15x = 2,188.81 × 923.01
  4. Step 4: Simplify right side
    1,586.15x = 2,020,293.52
  5. Step 5: Solve for x
    x = 2,020,293.52/1,586.15
  6. Step 6: Final answer
    x = 1,273.71

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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.