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Finding the Fourth Proportional to 1,433.81, 2,147.98 and 970.80

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Solution

The fourth proportional to 1,433.81, 2,147.98 and 970.80 is: 1,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.81 : 2,147.98 = 970.80 : x
  2. Step 2: Convert to fraction form
    1,433.81/2,147.98 = 970.80/x
  3. Step 3: Cross multiply
    1,433.81x = 2,147.98 × 970.80
  4. Step 4: Simplify right side
    1,433.81x = 2,085,258.98
  5. Step 5: Solve for x
    x = 2,085,258.98/1,433.81
  6. Step 6: Final answer
    x = 1,454.35

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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.