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Finding the Fourth Proportional to 2,343.42, 3,515.75 and 699.98

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Solution

The fourth proportional to 2,343.42, 3,515.75 and 699.98 is: 1,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.42 : 3,515.75 = 699.98 : x
  2. Step 2: Convert to fraction form
    2,343.42/3,515.75 = 699.98/x
  3. Step 3: Cross multiply
    2,343.42x = 3,515.75 × 699.98
  4. Step 4: Simplify right side
    2,343.42x = 2,460,954.69
  5. Step 5: Solve for x
    x = 2,460,954.69/2,343.42
  6. Step 6: Final answer
    x = 1,050.16

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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.