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Finding the Fourth Proportional to 2,443.76, 3,666.08 and 983.02

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Solution

The fourth proportional to 2,443.76, 3,666.08 and 983.02 is: 1,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.76 : 3,666.08 = 983.02 : x
  2. Step 2: Convert to fraction form
    2,443.76/3,666.08 = 983.02/x
  3. Step 3: Cross multiply
    2,443.76x = 3,666.08 × 983.02
  4. Step 4: Simplify right side
    2,443.76x = 3,603,829.96
  5. Step 5: Solve for x
    x = 3,603,829.96/2,443.76
  6. Step 6: Final answer
    x = 1,474.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.