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Finding the Fourth Proportional to 2,461.64, 3,397.72 and 1,664.60

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Solution

The fourth proportional to 2,461.64, 3,397.72 and 1,664.60 is: 2,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.64 : 3,397.72 = 1,664.60 : x
  2. Step 2: Convert to fraction form
    2,461.64/3,397.72 = 1,664.60/x
  3. Step 3: Cross multiply
    2,461.64x = 3,397.72 × 1,664.60
  4. Step 4: Simplify right side
    2,461.64x = 5,655,844.71
  5. Step 5: Solve for x
    x = 5,655,844.71/2,461.64
  6. Step 6: Final answer
    x = 2,297.59

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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.