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Finding the Fourth Proportional to 1,586.71, 2,189.80 and 923.63

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Solution

The fourth proportional to 1,586.71, 2,189.80 and 923.63 is: 1,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.71 : 2,189.80 = 923.63 : x
  2. Step 2: Convert to fraction form
    1,586.71/2,189.80 = 923.63/x
  3. Step 3: Cross multiply
    1,586.71x = 2,189.80 × 923.63
  4. Step 4: Simplify right side
    1,586.71x = 2,022,551.72
  5. Step 5: Solve for x
    x = 2,022,551.72/1,586.71
  6. Step 6: Final answer
    x = 1,274.68

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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.