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Finding the Fourth Proportional to 2,343.75, 3,515.10 and 700.42

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Solution

The fourth proportional to 2,343.75, 3,515.10 and 700.42 is: 1,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.75 : 3,515.10 = 700.42 : x
  2. Step 2: Convert to fraction form
    2,343.75/3,515.10 = 700.42/x
  3. Step 3: Cross multiply
    2,343.75x = 3,515.10 × 700.42
  4. Step 4: Simplify right side
    2,343.75x = 2,462,053.36
  5. Step 5: Solve for x
    x = 2,462,053.36/2,343.75
  6. Step 6: Final answer
    x = 1,050.48

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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.