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Finding the Fourth Proportional to 2,317.73, 3,199.03 and 1,433

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Solution

The fourth proportional to 2,317.73, 3,199.03 and 1,433 is: 1,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.73 : 3,199.03 = 1,433 : x
  2. Step 2: Convert to fraction form
    2,317.73/3,199.03 = 1,433/x
  3. Step 3: Cross multiply
    2,317.73x = 3,199.03 × 1,433
  4. Step 4: Simplify right side
    2,317.73x = 4,584,209.99
  5. Step 5: Solve for x
    x = 4,584,209.99/2,317.73
  6. Step 6: Final answer
    x = 1,977.89

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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.