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Finding the Fourth Proportional to 1,585.81, 2,186.99 and 1,321.13

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Solution

The fourth proportional to 1,585.81, 2,186.99 and 1,321.13 is: 1,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.81 : 2,186.99 = 1,321.13 : x
  2. Step 2: Convert to fraction form
    1,585.81/2,186.99 = 1,321.13/x
  3. Step 3: Cross multiply
    1,585.81x = 2,186.99 × 1,321.13
  4. Step 4: Simplify right side
    1,585.81x = 2,889,280.56
  5. Step 5: Solve for x
    x = 2,889,280.56/1,585.81
  6. Step 6: Final answer
    x = 1,821.96

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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.