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Finding the Fourth Proportional to 2,344.40, 3,516.78 and 700.84

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Solution

The fourth proportional to 2,344.40, 3,516.78 and 700.84 is: 1,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.40 : 3,516.78 = 700.84 : x
  2. Step 2: Convert to fraction form
    2,344.40/3,516.78 = 700.84/x
  3. Step 3: Cross multiply
    2,344.40x = 3,516.78 × 700.84
  4. Step 4: Simplify right side
    2,344.40x = 2,464,700.10
  5. Step 5: Solve for x
    x = 2,464,700.10/2,344.40
  6. Step 6: Final answer
    x = 1,051.31

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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.