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Finding the Fourth Proportional to 2,959.83, 4,084.42 and 1,780.67

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Solution

The fourth proportional to 2,959.83, 4,084.42 and 1,780.67 is: 2,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.83 : 4,084.42 = 1,780.67 : x
  2. Step 2: Convert to fraction form
    2,959.83/4,084.42 = 1,780.67/x
  3. Step 3: Cross multiply
    2,959.83x = 4,084.42 × 1,780.67
  4. Step 4: Simplify right side
    2,959.83x = 7,273,004.16
  5. Step 5: Solve for x
    x = 7,273,004.16/2,959.83
  6. Step 6: Final answer
    x = 2,457.24

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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.