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Finding the Fourth Proportional to 1,666.66, 2,299.94 and 920.68

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Solution

The fourth proportional to 1,666.66, 2,299.94 and 920.68 is: 1,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.66 : 2,299.94 = 920.68 : x
  2. Step 2: Convert to fraction form
    1,666.66/2,299.94 = 920.68/x
  3. Step 3: Cross multiply
    1,666.66x = 2,299.94 × 920.68
  4. Step 4: Simplify right side
    1,666.66x = 2,117,508.76
  5. Step 5: Solve for x
    x = 2,117,508.76/1,666.66
  6. Step 6: Final answer
    x = 1,270.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.