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Finding the Fourth Proportional to 1,524.70, 2,283.40 and 967.47

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Solution

The fourth proportional to 1,524.70, 2,283.40 and 967.47 is: 1,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.70 : 2,283.40 = 967.47 : x
  2. Step 2: Convert to fraction form
    1,524.70/2,283.40 = 967.47/x
  3. Step 3: Cross multiply
    1,524.70x = 2,283.40 × 967.47
  4. Step 4: Simplify right side
    1,524.70x = 2,209,121.00
  5. Step 5: Solve for x
    x = 2,209,121.00/1,524.70
  6. Step 6: Final answer
    x = 1,448.89

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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.