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Finding the Fourth Proportional to 1,955.34, 2,698.38 and 1,170.18

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Solution

The fourth proportional to 1,955.34, 2,698.38 and 1,170.18 is: 1,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.34 : 2,698.38 = 1,170.18 : x
  2. Step 2: Convert to fraction form
    1,955.34/2,698.38 = 1,170.18/x
  3. Step 3: Cross multiply
    1,955.34x = 2,698.38 × 1,170.18
  4. Step 4: Simplify right side
    1,955.34x = 3,157,590.31
  5. Step 5: Solve for x
    x = 3,157,590.31/1,955.34
  6. Step 6: Final answer
    x = 1,614.85

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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.