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Finding the Fourth Proportional to 2,189.40, 3,283.32 and 956.46

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Solution

The fourth proportional to 2,189.40, 3,283.32 and 956.46 is: 1,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.40 : 3,283.32 = 956.46 : x
  2. Step 2: Convert to fraction form
    2,189.40/3,283.32 = 956.46/x
  3. Step 3: Cross multiply
    2,189.40x = 3,283.32 × 956.46
  4. Step 4: Simplify right side
    2,189.40x = 3,140,364.25
  5. Step 5: Solve for x
    x = 3,140,364.25/2,189.40
  6. Step 6: Final answer
    x = 1,434.35

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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.