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Finding the Fourth Proportional to 2,813.06, 4,219.60 and 1,658

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Solution

The fourth proportional to 2,813.06, 4,219.60 and 1,658 is: 2,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.06 : 4,219.60 = 1,658 : x
  2. Step 2: Convert to fraction form
    2,813.06/4,219.60 = 1,658/x
  3. Step 3: Cross multiply
    2,813.06x = 4,219.60 × 1,658
  4. Step 4: Simplify right side
    2,813.06x = 6,996,096.80
  5. Step 5: Solve for x
    x = 6,996,096.80/2,813.06
  6. Step 6: Final answer
    x = 2,487.01

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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.