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Finding the Fourth Proportional to 2,115.95, 3,170.41 and 1,496.58

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Solution

The fourth proportional to 2,115.95, 3,170.41 and 1,496.58 is: 2,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.95 : 3,170.41 = 1,496.58 : x
  2. Step 2: Convert to fraction form
    2,115.95/3,170.41 = 1,496.58/x
  3. Step 3: Cross multiply
    2,115.95x = 3,170.41 × 1,496.58
  4. Step 4: Simplify right side
    2,115.95x = 4,744,774.07
  5. Step 5: Solve for x
    x = 4,744,774.07/2,115.95
  6. Step 6: Final answer
    x = 2,242.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.