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Finding the Fourth Proportional to 1,788.89, 2,683.33 and 490.46

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Solution

The fourth proportional to 1,788.89, 2,683.33 and 490.46 is: 735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.89 : 2,683.33 = 490.46 : x
  2. Step 2: Convert to fraction form
    1,788.89/2,683.33 = 490.46/x
  3. Step 3: Cross multiply
    1,788.89x = 2,683.33 × 490.46
  4. Step 4: Simplify right side
    1,788.89x = 1,316,050.16
  5. Step 5: Solve for x
    x = 1,316,050.16/1,788.89
  6. Step 6: Final answer
    x = 735.68

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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.