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Finding the Fourth Proportional to 2,233.47, 3,350.99 and 1,000.77

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Solution

The fourth proportional to 2,233.47, 3,350.99 and 1,000.77 is: 1,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.47 : 3,350.99 = 1,000.77 : x
  2. Step 2: Convert to fraction form
    2,233.47/3,350.99 = 1,000.77/x
  3. Step 3: Cross multiply
    2,233.47x = 3,350.99 × 1,000.77
  4. Step 4: Simplify right side
    2,233.47x = 3,353,570.26
  5. Step 5: Solve for x
    x = 3,353,570.26/2,233.47
  6. Step 6: Final answer
    x = 1,501.51

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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.