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Finding the Fourth Proportional to 1,666.72, 2,298.96 and 1,002.88

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Solution

The fourth proportional to 1,666.72, 2,298.96 and 1,002.88 is: 1,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.72 : 2,298.96 = 1,002.88 : x
  2. Step 2: Convert to fraction form
    1,666.72/2,298.96 = 1,002.88/x
  3. Step 3: Cross multiply
    1,666.72x = 2,298.96 × 1,002.88
  4. Step 4: Simplify right side
    1,666.72x = 2,305,583.88
  5. Step 5: Solve for x
    x = 2,305,583.88/1,666.72
  6. Step 6: Final answer
    x = 1,383.31

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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.