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Finding the Fourth Proportional to 2,106.23, 2,905.46 and 1,608.00

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Solution

The fourth proportional to 2,106.23, 2,905.46 and 1,608.00 is: 2,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.23 : 2,905.46 = 1,608.00 : x
  2. Step 2: Convert to fraction form
    2,106.23/2,905.46 = 1,608.00/x
  3. Step 3: Cross multiply
    2,106.23x = 2,905.46 × 1,608.00
  4. Step 4: Simplify right side
    2,106.23x = 4,671,960.74
  5. Step 5: Solve for x
    x = 4,671,960.74/2,106.23
  6. Step 6: Final answer
    x = 2,218.17

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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.