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Finding the Fourth Proportional to 2,343.85, 3,516.29 and 783.90

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Solution

The fourth proportional to 2,343.85, 3,516.29 and 783.90 is: 1,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.85 : 3,516.29 = 783.90 : x
  2. Step 2: Convert to fraction form
    2,343.85/3,516.29 = 783.90/x
  3. Step 3: Cross multiply
    2,343.85x = 3,516.29 × 783.90
  4. Step 4: Simplify right side
    2,343.85x = 2,756,426.44
  5. Step 5: Solve for x
    x = 2,756,426.44/2,343.85
  6. Step 6: Final answer
    x = 1,176.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.