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Finding the Fourth Proportional to 1,656.96, 2,482.19 and 1,323.84

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Solution

The fourth proportional to 1,656.96, 2,482.19 and 1,323.84 is: 1,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.96 : 2,482.19 = 1,323.84 : x
  2. Step 2: Convert to fraction form
    1,656.96/2,482.19 = 1,323.84/x
  3. Step 3: Cross multiply
    1,656.96x = 2,482.19 × 1,323.84
  4. Step 4: Simplify right side
    1,656.96x = 3,286,022.41
  5. Step 5: Solve for x
    x = 3,286,022.41/1,656.96
  6. Step 6: Final answer
    x = 1,983.16

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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.