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Finding the Fourth Proportional to 2,333.47, 3,500.96 and 690.03

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Solution

The fourth proportional to 2,333.47, 3,500.96 and 690.03 is: 1,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.47 : 3,500.96 = 690.03 : x
  2. Step 2: Convert to fraction form
    2,333.47/3,500.96 = 690.03/x
  3. Step 3: Cross multiply
    2,333.47x = 3,500.96 × 690.03
  4. Step 4: Simplify right side
    2,333.47x = 2,415,763.98
  5. Step 5: Solve for x
    x = 2,415,763.98/2,333.47
  6. Step 6: Final answer
    x = 1,035.27

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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.