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Finding the Fourth Proportional to 1,664.87, 2,297.80 and 1,591.06

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Solution

The fourth proportional to 1,664.87, 2,297.80 and 1,591.06 is: 2,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.87 : 2,297.80 = 1,591.06 : x
  2. Step 2: Convert to fraction form
    1,664.87/2,297.80 = 1,591.06/x
  3. Step 3: Cross multiply
    1,664.87x = 2,297.80 × 1,591.06
  4. Step 4: Simplify right side
    1,664.87x = 3,655,925.07
  5. Step 5: Solve for x
    x = 3,655,925.07/1,664.87
  6. Step 6: Final answer
    x = 2,195.93

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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.