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Finding the Fourth Proportional to 2,343.74, 3,515.67 and 700.25

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Solution

The fourth proportional to 2,343.74, 3,515.67 and 700.25 is: 1,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.74 : 3,515.67 = 700.25 : x
  2. Step 2: Convert to fraction form
    2,343.74/3,515.67 = 700.25/x
  3. Step 3: Cross multiply
    2,343.74x = 3,515.67 × 700.25
  4. Step 4: Simplify right side
    2,343.74x = 2,461,830.34
  5. Step 5: Solve for x
    x = 2,461,830.34/2,343.74
  6. Step 6: Final answer
    x = 1,050.39

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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.