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Finding the Fourth Proportional to 1,664.76, 2,297.60 and 1,077.02

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Solution

The fourth proportional to 1,664.76, 2,297.60 and 1,077.02 is: 1,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.76 : 2,297.60 = 1,077.02 : x
  2. Step 2: Convert to fraction form
    1,664.76/2,297.60 = 1,077.02/x
  3. Step 3: Cross multiply
    1,664.76x = 2,297.60 × 1,077.02
  4. Step 4: Simplify right side
    1,664.76x = 2,474,544.28
  5. Step 5: Solve for x
    x = 2,474,544.28/1,664.76
  6. Step 6: Final answer
    x = 1,486.43

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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.