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Finding the Fourth Proportional to 1,953.70, 2,697 and 1,157.16

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Solution

The fourth proportional to 1,953.70, 2,697 and 1,157.16 is: 1,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.70 : 2,697 = 1,157.16 : x
  2. Step 2: Convert to fraction form
    1,953.70/2,697 = 1,157.16/x
  3. Step 3: Cross multiply
    1,953.70x = 2,697 × 1,157.16
  4. Step 4: Simplify right side
    1,953.70x = 3,120,860.52
  5. Step 5: Solve for x
    x = 3,120,860.52/1,953.70
  6. Step 6: Final answer
    x = 1,597.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.