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Finding the Fourth Proportional to 1,666.23, 2,298.46 and 1,002.67

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Solution

The fourth proportional to 1,666.23, 2,298.46 and 1,002.67 is: 1,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.23 : 2,298.46 = 1,002.67 : x
  2. Step 2: Convert to fraction form
    1,666.23/2,298.46 = 1,002.67/x
  3. Step 3: Cross multiply
    1,666.23x = 2,298.46 × 1,002.67
  4. Step 4: Simplify right side
    1,666.23x = 2,304,596.89
  5. Step 5: Solve for x
    x = 2,304,596.89/1,666.23
  6. Step 6: Final answer
    x = 1,383.12

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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.