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Finding the Fourth Proportional to 1,586.70, 2,362.86 and 1,559.34

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Solution

The fourth proportional to 1,586.70, 2,362.86 and 1,559.34 is: 2,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.70 : 2,362.86 = 1,559.34 : x
  2. Step 2: Convert to fraction form
    1,586.70/2,362.86 = 1,559.34/x
  3. Step 3: Cross multiply
    1,586.70x = 2,362.86 × 1,559.34
  4. Step 4: Simplify right side
    1,586.70x = 3,684,502.11
  5. Step 5: Solve for x
    x = 3,684,502.11/1,586.70
  6. Step 6: Final answer
    x = 2,322.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.