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Finding the Fourth Proportional to 1,443.68, 1,991.64 and 1,002.64

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Solution

The fourth proportional to 1,443.68, 1,991.64 and 1,002.64 is: 1,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.68 : 1,991.64 = 1,002.64 : x
  2. Step 2: Convert to fraction form
    1,443.68/1,991.64 = 1,002.64/x
  3. Step 3: Cross multiply
    1,443.68x = 1,991.64 × 1,002.64
  4. Step 4: Simplify right side
    1,443.68x = 1,996,897.93
  5. Step 5: Solve for x
    x = 1,996,897.93/1,443.68
  6. Step 6: Final answer
    x = 1,383.20

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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.