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Finding the Fourth Proportional to 1,890.14, 2,833.85 and 953.67

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Solution

The fourth proportional to 1,890.14, 2,833.85 and 953.67 is: 1,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.14 : 2,833.85 = 953.67 : x
  2. Step 2: Convert to fraction form
    1,890.14/2,833.85 = 953.67/x
  3. Step 3: Cross multiply
    1,890.14x = 2,833.85 × 953.67
  4. Step 4: Simplify right side
    1,890.14x = 2,702,557.73
  5. Step 5: Solve for x
    x = 2,702,557.73/1,890.14
  6. Step 6: Final answer
    x = 1,429.82

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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.