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Finding the Fourth Proportional to 2,350.35, 3,506.35 and 2,165.83

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Solution

The fourth proportional to 2,350.35, 3,506.35 and 2,165.83 is: 3,231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.35 : 3,506.35 = 2,165.83 : x
  2. Step 2: Convert to fraction form
    2,350.35/3,506.35 = 2,165.83/x
  3. Step 3: Cross multiply
    2,350.35x = 3,506.35 × 2,165.83
  4. Step 4: Simplify right side
    2,350.35x = 7,594,158.02
  5. Step 5: Solve for x
    x = 7,594,158.02/2,350.35
  6. Step 6: Final answer
    x = 3,231.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.