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Finding the Fourth Proportional to 1,664.84, 2,295.60 and 1,564.40

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Solution

The fourth proportional to 1,664.84, 2,295.60 and 1,564.40 is: 2,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.84 : 2,295.60 = 1,564.40 : x
  2. Step 2: Convert to fraction form
    1,664.84/2,295.60 = 1,564.40/x
  3. Step 3: Cross multiply
    1,664.84x = 2,295.60 × 1,564.40
  4. Step 4: Simplify right side
    1,664.84x = 3,591,236.64
  5. Step 5: Solve for x
    x = 3,591,236.64/1,664.84
  6. Step 6: Final answer
    x = 2,157.11

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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.