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Finding the Fourth Proportional to 1,666.38, 2,299.20 and 1,003.56

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Solution

The fourth proportional to 1,666.38, 2,299.20 and 1,003.56 is: 1,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.38 : 2,299.20 = 1,003.56 : x
  2. Step 2: Convert to fraction form
    1,666.38/2,299.20 = 1,003.56/x
  3. Step 3: Cross multiply
    1,666.38x = 2,299.20 × 1,003.56
  4. Step 4: Simplify right side
    1,666.38x = 2,307,385.15
  5. Step 5: Solve for x
    x = 2,307,385.15/1,666.38
  6. Step 6: Final answer
    x = 1,384.67

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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.