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Finding the Fourth Proportional to 1,664.84, 2,281.06 and 1,644.36

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Solution

The fourth proportional to 1,664.84, 2,281.06 and 1,644.36 is: 2,253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.84 : 2,281.06 = 1,644.36 : x
  2. Step 2: Convert to fraction form
    1,664.84/2,281.06 = 1,644.36/x
  3. Step 3: Cross multiply
    1,664.84x = 2,281.06 × 1,644.36
  4. Step 4: Simplify right side
    1,664.84x = 3,750,883.82
  5. Step 5: Solve for x
    x = 3,750,883.82/1,664.84
  6. Step 6: Final answer
    x = 2,253.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.