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Finding the Fourth Proportional to 2,162.55, 3,242.43 and 846.30

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Solution

The fourth proportional to 2,162.55, 3,242.43 and 846.30 is: 1,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.55 : 3,242.43 = 846.30 : x
  2. Step 2: Convert to fraction form
    2,162.55/3,242.43 = 846.30/x
  3. Step 3: Cross multiply
    2,162.55x = 3,242.43 × 846.30
  4. Step 4: Simplify right side
    2,162.55x = 2,744,068.51
  5. Step 5: Solve for x
    x = 2,744,068.51/2,162.55
  6. Step 6: Final answer
    x = 1,268.90

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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.