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Finding the Fourth Proportional to 1,397.42, 2,096.15 and 357.43

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Solution

The fourth proportional to 1,397.42, 2,096.15 and 357.43 is: 536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.42 : 2,096.15 = 357.43 : x
  2. Step 2: Convert to fraction form
    1,397.42/2,096.15 = 357.43/x
  3. Step 3: Cross multiply
    1,397.42x = 2,096.15 × 357.43
  4. Step 4: Simplify right side
    1,397.42x = 749,219.87
  5. Step 5: Solve for x
    x = 749,219.87/1,397.42
  6. Step 6: Final answer
    x = 536.15

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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.