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Finding the Fourth Proportional to 2,366.64, 3,548.68 and 1,627.12

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Solution

The fourth proportional to 2,366.64, 3,548.68 and 1,627.12 is: 2,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.64 : 3,548.68 = 1,627.12 : x
  2. Step 2: Convert to fraction form
    2,366.64/3,548.68 = 1,627.12/x
  3. Step 3: Cross multiply
    2,366.64x = 3,548.68 × 1,627.12
  4. Step 4: Simplify right side
    2,366.64x = 5,774,128.20
  5. Step 5: Solve for x
    x = 5,774,128.20/2,366.64
  6. Step 6: Final answer
    x = 2,439.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.