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Finding the Fourth Proportional to 2,344.16, 3,516.24 and 700.67

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Solution

The fourth proportional to 2,344.16, 3,516.24 and 700.67 is: 1,051.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.16 : 3,516.24 = 700.67 : x
  2. Step 2: Convert to fraction form
    2,344.16/3,516.24 = 700.67/x
  3. Step 3: Cross multiply
    2,344.16x = 3,516.24 × 700.67
  4. Step 4: Simplify right side
    2,344.16x = 2,463,706.30
  5. Step 5: Solve for x
    x = 2,463,706.30/2,344.16
  6. Step 6: Final answer
    x = 1,051.00

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Why These Related Problems?

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