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Finding the Fourth Proportional to 2,189.14, 3,280.08 and 954.70

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Solution

The fourth proportional to 2,189.14, 3,280.08 and 954.70 is: 1,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.14 : 3,280.08 = 954.70 : x
  2. Step 2: Convert to fraction form
    2,189.14/3,280.08 = 954.70/x
  3. Step 3: Cross multiply
    2,189.14x = 3,280.08 × 954.70
  4. Step 4: Simplify right side
    2,189.14x = 3,131,492.38
  5. Step 5: Solve for x
    x = 3,131,492.38/2,189.14
  6. Step 6: Final answer
    x = 1,430.47

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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.