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Finding the Fourth Proportional to 1,845.48, 2,768.22 and 458.76

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Solution

The fourth proportional to 1,845.48, 2,768.22 and 458.76 is: 688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.48 : 2,768.22 = 458.76 : x
  2. Step 2: Convert to fraction form
    1,845.48/2,768.22 = 458.76/x
  3. Step 3: Cross multiply
    1,845.48x = 2,768.22 × 458.76
  4. Step 4: Simplify right side
    1,845.48x = 1,269,948.61
  5. Step 5: Solve for x
    x = 1,269,948.61/1,845.48
  6. Step 6: Final answer
    x = 688.14

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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.