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Finding the Fourth Proportional to 1,930.96, 2,896.28 and 1,066

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Solution

The fourth proportional to 1,930.96, 2,896.28 and 1,066 is: 1,598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.96 : 2,896.28 = 1,066 : x
  2. Step 2: Convert to fraction form
    1,930.96/2,896.28 = 1,066/x
  3. Step 3: Cross multiply
    1,930.96x = 2,896.28 × 1,066
  4. Step 4: Simplify right side
    1,930.96x = 3,087,434.48
  5. Step 5: Solve for x
    x = 3,087,434.48/1,930.96
  6. Step 6: Final answer
    x = 1,598.91

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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.