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Finding the Fourth Proportional to 2,188.89, 3,279.69 and 954.45

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Solution

The fourth proportional to 2,188.89, 3,279.69 and 954.45 is: 1,430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.89 : 3,279.69 = 954.45 : x
  2. Step 2: Convert to fraction form
    2,188.89/3,279.69 = 954.45/x
  3. Step 3: Cross multiply
    2,188.89x = 3,279.69 × 954.45
  4. Step 4: Simplify right side
    2,188.89x = 3,130,300.12
  5. Step 5: Solve for x
    x = 3,130,300.12/2,188.89
  6. Step 6: Final answer
    x = 1,430.09

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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.