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Finding the Fourth Proportional to 2,835.68, 4,234.39 and 2,316.69

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Solution

The fourth proportional to 2,835.68, 4,234.39 and 2,316.69 is: 3,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.68 : 4,234.39 = 2,316.69 : x
  2. Step 2: Convert to fraction form
    2,835.68/4,234.39 = 2,316.69/x
  3. Step 3: Cross multiply
    2,835.68x = 4,234.39 × 2,316.69
  4. Step 4: Simplify right side
    2,835.68x = 9,809,763.18
  5. Step 5: Solve for x
    x = 9,809,763.18/2,835.68
  6. Step 6: Final answer
    x = 3,459.41

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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.