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Finding the Fourth Proportional to 1,515.42, 2,091.09 and 955.68

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Solution

The fourth proportional to 1,515.42, 2,091.09 and 955.68 is: 1,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.42 : 2,091.09 = 955.68 : x
  2. Step 2: Convert to fraction form
    1,515.42/2,091.09 = 955.68/x
  3. Step 3: Cross multiply
    1,515.42x = 2,091.09 × 955.68
  4. Step 4: Simplify right side
    1,515.42x = 1,998,408.63
  5. Step 5: Solve for x
    x = 1,998,408.63/1,515.42
  6. Step 6: Final answer
    x = 1,318.72

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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.