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Finding the Fourth Proportional to 1,889.40, 2,831.82 and 964.68

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Solution

The fourth proportional to 1,889.40, 2,831.82 and 964.68 is: 1,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.40 : 2,831.82 = 964.68 : x
  2. Step 2: Convert to fraction form
    1,889.40/2,831.82 = 964.68/x
  3. Step 3: Cross multiply
    1,889.40x = 2,831.82 × 964.68
  4. Step 4: Simplify right side
    1,889.40x = 2,731,800.12
  5. Step 5: Solve for x
    x = 2,731,800.12/1,889.40
  6. Step 6: Final answer
    x = 1,445.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.