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Finding the Fourth Proportional to 1,930.16, 2,895.12 and 833.76

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Solution

The fourth proportional to 1,930.16, 2,895.12 and 833.76 is: 1,250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.16 : 2,895.12 = 833.76 : x
  2. Step 2: Convert to fraction form
    1,930.16/2,895.12 = 833.76/x
  3. Step 3: Cross multiply
    1,930.16x = 2,895.12 × 833.76
  4. Step 4: Simplify right side
    1,930.16x = 2,413,835.25
  5. Step 5: Solve for x
    x = 2,413,835.25/1,930.16
  6. Step 6: Final answer
    x = 1,250.59

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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.