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Finding the Fourth Proportional to 1,943.64, 2,912.88 and 967.80

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Solution

The fourth proportional to 1,943.64, 2,912.88 and 967.80 is: 1,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.64 : 2,912.88 = 967.80 : x
  2. Step 2: Convert to fraction form
    1,943.64/2,912.88 = 967.80/x
  3. Step 3: Cross multiply
    1,943.64x = 2,912.88 × 967.80
  4. Step 4: Simplify right side
    1,943.64x = 2,819,085.26
  5. Step 5: Solve for x
    x = 2,819,085.26/1,943.64
  6. Step 6: Final answer
    x = 1,450.42

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1.5x scale

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.