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Finding the Fourth Proportional to 1,845.36, 2,768.02 and 458.67

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Solution

The fourth proportional to 1,845.36, 2,768.02 and 458.67 is: 688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.36 : 2,768.02 = 458.67 : x
  2. Step 2: Convert to fraction form
    1,845.36/2,768.02 = 458.67/x
  3. Step 3: Cross multiply
    1,845.36x = 2,768.02 × 458.67
  4. Step 4: Simplify right side
    1,845.36x = 1,269,607.73
  5. Step 5: Solve for x
    x = 1,269,607.73/1,845.36
  6. Step 6: Final answer
    x = 688.00

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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.