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Finding the Fourth Proportional to 1,985.94, 2,734.37 and 1,686.57

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Solution

The fourth proportional to 1,985.94, 2,734.37 and 1,686.57 is: 2,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.94 : 2,734.37 = 1,686.57 : x
  2. Step 2: Convert to fraction form
    1,985.94/2,734.37 = 1,686.57/x
  3. Step 3: Cross multiply
    1,985.94x = 2,734.37 × 1,686.57
  4. Step 4: Simplify right side
    1,985.94x = 4,611,697.98
  5. Step 5: Solve for x
    x = 4,611,697.98/1,985.94
  6. Step 6: Final answer
    x = 2,322.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.