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Finding the Fourth Proportional to 3,342.65, 4,612.69 and 2,161.67

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Solution

The fourth proportional to 3,342.65, 4,612.69 and 2,161.67 is: 2,983.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.65 : 4,612.69 = 2,161.67 : x
  2. Step 2: Convert to fraction form
    3,342.65/4,612.69 = 2,161.67/x
  3. Step 3: Cross multiply
    3,342.65x = 4,612.69 × 2,161.67
  4. Step 4: Simplify right side
    3,342.65x = 9,971,113.59
  5. Step 5: Solve for x
    x = 9,971,113.59/3,342.65
  6. Step 6: Final answer
    x = 2,983.00

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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.