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Finding the Fourth Proportional to 2,125.75, 3,185.07 and 1,506.46

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Solution

The fourth proportional to 2,125.75, 3,185.07 and 1,506.46 is: 2,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.75 : 3,185.07 = 1,506.46 : x
  2. Step 2: Convert to fraction form
    2,125.75/3,185.07 = 1,506.46/x
  3. Step 3: Cross multiply
    2,125.75x = 3,185.07 × 1,506.46
  4. Step 4: Simplify right side
    2,125.75x = 4,798,180.55
  5. Step 5: Solve for x
    x = 4,798,180.55/2,125.75
  6. Step 6: Final answer
    x = 2,257.17

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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.