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Finding the Fourth Proportional to 2,653.50, 3,664.16 and 1,660.46

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Solution

The fourth proportional to 2,653.50, 3,664.16 and 1,660.46 is: 2,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.50 : 3,664.16 = 1,660.46 : x
  2. Step 2: Convert to fraction form
    2,653.50/3,664.16 = 1,660.46/x
  3. Step 3: Cross multiply
    2,653.50x = 3,664.16 × 1,660.46
  4. Step 4: Simplify right side
    2,653.50x = 6,084,191.11
  5. Step 5: Solve for x
    x = 6,084,191.11/2,653.50
  6. Step 6: Final answer
    x = 2,292.89

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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.