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Finding the Fourth Proportional to 1,586.45, 2,378.99 and 546.23

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Solution

The fourth proportional to 1,586.45, 2,378.99 and 546.23 is: 819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.45 : 2,378.99 = 546.23 : x
  2. Step 2: Convert to fraction form
    1,586.45/2,378.99 = 546.23/x
  3. Step 3: Cross multiply
    1,586.45x = 2,378.99 × 546.23
  4. Step 4: Simplify right side
    1,586.45x = 1,299,483.02
  5. Step 5: Solve for x
    x = 1,299,483.02/1,586.45
  6. Step 6: Final answer
    x = 819.11

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