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Finding the Fourth Proportional to 2,048.30, 3,072.45 and 954.80

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Solution

The fourth proportional to 2,048.30, 3,072.45 and 954.80 is: 1,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.30 : 3,072.45 = 954.80 : x
  2. Step 2: Convert to fraction form
    2,048.30/3,072.45 = 954.80/x
  3. Step 3: Cross multiply
    2,048.30x = 3,072.45 × 954.80
  4. Step 4: Simplify right side
    2,048.30x = 2,933,575.26
  5. Step 5: Solve for x
    x = 2,933,575.26/2,048.30
  6. Step 6: Final answer
    x = 1,432.20

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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.