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Finding the Fourth Proportional to 2,343.79, 3,515.69 and 700.37

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Solution

The fourth proportional to 2,343.79, 3,515.69 and 700.37 is: 1,050.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.79 : 3,515.69 = 700.37 : x
  2. Step 2: Convert to fraction form
    2,343.79/3,515.69 = 700.37/x
  3. Step 3: Cross multiply
    2,343.79x = 3,515.69 × 700.37
  4. Step 4: Simplify right side
    2,343.79x = 2,462,283.81
  5. Step 5: Solve for x
    x = 2,462,283.81/2,343.79
  6. Step 6: Final answer
    x = 1,050.56

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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.