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Finding the Fourth Proportional to 1,586.77, 2,193.92 and 1,389.71

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Solution

The fourth proportional to 1,586.77, 2,193.92 and 1,389.71 is: 1,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.77 : 2,193.92 = 1,389.71 : x
  2. Step 2: Convert to fraction form
    1,586.77/2,193.92 = 1,389.71/x
  3. Step 3: Cross multiply
    1,586.77x = 2,193.92 × 1,389.71
  4. Step 4: Simplify right side
    1,586.77x = 3,048,922.79
  5. Step 5: Solve for x
    x = 3,048,922.79/1,586.77
  6. Step 6: Final answer
    x = 1,921.47

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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.