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Finding the Fourth Proportional to 1,890.29, 2,837.16 and 966.49

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Solution

The fourth proportional to 1,890.29, 2,837.16 and 966.49 is: 1,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.29 : 2,837.16 = 966.49 : x
  2. Step 2: Convert to fraction form
    1,890.29/2,837.16 = 966.49/x
  3. Step 3: Cross multiply
    1,890.29x = 2,837.16 × 966.49
  4. Step 4: Simplify right side
    1,890.29x = 2,742,079.68
  5. Step 5: Solve for x
    x = 2,742,079.68/1,890.29
  6. Step 6: Final answer
    x = 1,450.61

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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.