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Finding the Fourth Proportional to 1,666.24, 2,299.71 and 1,003.18

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Solution

The fourth proportional to 1,666.24, 2,299.71 and 1,003.18 is: 1,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.24 : 2,299.71 = 1,003.18 : x
  2. Step 2: Convert to fraction form
    1,666.24/2,299.71 = 1,003.18/x
  3. Step 3: Cross multiply
    1,666.24x = 2,299.71 × 1,003.18
  4. Step 4: Simplify right side
    1,666.24x = 2,307,023.08
  5. Step 5: Solve for x
    x = 2,307,023.08/1,666.24
  6. Step 6: Final answer
    x = 1,384.57

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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.