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Finding the Fourth Proportional to 2,454.76, 3,676.74 and 1,586.44

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Solution

The fourth proportional to 2,454.76, 3,676.74 and 1,586.44 is: 2,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.76 : 3,676.74 = 1,586.44 : x
  2. Step 2: Convert to fraction form
    2,454.76/3,676.74 = 1,586.44/x
  3. Step 3: Cross multiply
    2,454.76x = 3,676.74 × 1,586.44
  4. Step 4: Simplify right side
    2,454.76x = 5,832,927.41
  5. Step 5: Solve for x
    x = 5,832,927.41/2,454.76
  6. Step 6: Final answer
    x = 2,376.17

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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.