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Finding the Fourth Proportional to 1,666.14, 2,299.49 and 1,003.35

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Solution

The fourth proportional to 1,666.14, 2,299.49 and 1,003.35 is: 1,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.14 : 2,299.49 = 1,003.35 : x
  2. Step 2: Convert to fraction form
    1,666.14/2,299.49 = 1,003.35/x
  3. Step 3: Cross multiply
    1,666.14x = 2,299.49 × 1,003.35
  4. Step 4: Simplify right side
    1,666.14x = 2,307,188.27
  5. Step 5: Solve for x
    x = 2,307,188.27/1,666.14
  6. Step 6: Final answer
    x = 1,384.75

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