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Finding the Fourth Proportional to 1,586.07, 2,188.80 and 923.09

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Solution

The fourth proportional to 1,586.07, 2,188.80 and 923.09 is: 1,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.07 : 2,188.80 = 923.09 : x
  2. Step 2: Convert to fraction form
    1,586.07/2,188.80 = 923.09/x
  3. Step 3: Cross multiply
    1,586.07x = 2,188.80 × 923.09
  4. Step 4: Simplify right side
    1,586.07x = 2,020,448.45
  5. Step 5: Solve for x
    x = 2,020,448.45/1,586.07
  6. Step 6: Final answer
    x = 1,273.87

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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.