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Finding the Fourth Proportional to 2,185.72, 3,014.18 and 1,660.84

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Solution

The fourth proportional to 2,185.72, 3,014.18 and 1,660.84 is: 2,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.72 : 3,014.18 = 1,660.84 : x
  2. Step 2: Convert to fraction form
    2,185.72/3,014.18 = 1,660.84/x
  3. Step 3: Cross multiply
    2,185.72x = 3,014.18 × 1,660.84
  4. Step 4: Simplify right side
    2,185.72x = 5,006,070.71
  5. Step 5: Solve for x
    x = 5,006,070.71/2,185.72
  6. Step 6: Final answer
    x = 2,290.35

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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.