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Finding the Fourth Proportional to 2,727.58, 4,088.58 and 1,632.46

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Solution

The fourth proportional to 2,727.58, 4,088.58 and 1,632.46 is: 2,447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.58 : 4,088.58 = 1,632.46 : x
  2. Step 2: Convert to fraction form
    2,727.58/4,088.58 = 1,632.46/x
  3. Step 3: Cross multiply
    2,727.58x = 4,088.58 × 1,632.46
  4. Step 4: Simplify right side
    2,727.58x = 6,674,443.31
  5. Step 5: Solve for x
    x = 6,674,443.31/2,727.58
  6. Step 6: Final answer
    x = 2,447.02

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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.