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Finding the Fourth Proportional to 2,535.64, 3,497.04 and 1,639.52

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Solution

The fourth proportional to 2,535.64, 3,497.04 and 1,639.52 is: 2,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.64 : 3,497.04 = 1,639.52 : x
  2. Step 2: Convert to fraction form
    2,535.64/3,497.04 = 1,639.52/x
  3. Step 3: Cross multiply
    2,535.64x = 3,497.04 × 1,639.52
  4. Step 4: Simplify right side
    2,535.64x = 5,733,467.02
  5. Step 5: Solve for x
    x = 5,733,467.02/2,535.64
  6. Step 6: Final answer
    x = 2,261.15

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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.