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Finding the Fourth Proportional to 2,185.93, 3,014.13 and 1,712.98

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Solution

The fourth proportional to 2,185.93, 3,014.13 and 1,712.98 is: 2,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.93 : 3,014.13 = 1,712.98 : x
  2. Step 2: Convert to fraction form
    2,185.93/3,014.13 = 1,712.98/x
  3. Step 3: Cross multiply
    2,185.93x = 3,014.13 × 1,712.98
  4. Step 4: Simplify right side
    2,185.93x = 5,163,144.41
  5. Step 5: Solve for x
    x = 5,163,144.41/2,185.93
  6. Step 6: Final answer
    x = 2,361.99

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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.