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Finding the Fourth Proportional to 2,158.56, 2,964.48 and 1,808.64

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Solution

The fourth proportional to 2,158.56, 2,964.48 and 1,808.64 is: 2,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.56 : 2,964.48 = 1,808.64 : x
  2. Step 2: Convert to fraction form
    2,158.56/2,964.48 = 1,808.64/x
  3. Step 3: Cross multiply
    2,158.56x = 2,964.48 × 1,808.64
  4. Step 4: Simplify right side
    2,158.56x = 5,361,677.11
  5. Step 5: Solve for x
    x = 5,361,677.11/2,158.56
  6. Step 6: Final answer
    x = 2,483.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.