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Finding the Fourth Proportional to 1,586.81, 2,380.36 and 546.67

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Solution

The fourth proportional to 1,586.81, 2,380.36 and 546.67 is: 820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.81 : 2,380.36 = 546.67 : x
  2. Step 2: Convert to fraction form
    1,586.81/2,380.36 = 546.67/x
  3. Step 3: Cross multiply
    1,586.81x = 2,380.36 × 546.67
  4. Step 4: Simplify right side
    1,586.81x = 1,301,266.82
  5. Step 5: Solve for x
    x = 1,301,266.82/1,586.81
  6. Step 6: Final answer
    x = 820.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.