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Finding the Fourth Proportional to 2,330.29, 3,213.16 and 1,699.71

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Solution

The fourth proportional to 2,330.29, 3,213.16 and 1,699.71 is: 2,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.29 : 3,213.16 = 1,699.71 : x
  2. Step 2: Convert to fraction form
    2,330.29/3,213.16 = 1,699.71/x
  3. Step 3: Cross multiply
    2,330.29x = 3,213.16 × 1,699.71
  4. Step 4: Simplify right side
    2,330.29x = 5,461,440.18
  5. Step 5: Solve for x
    x = 5,461,440.18/2,330.29
  6. Step 6: Final answer
    x = 2,343.67

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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.