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Finding the Fourth Proportional to 1,204.80, 1,808.64 and 1,114.08

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Solution

The fourth proportional to 1,204.80, 1,808.64 and 1,114.08 is: 1,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.80 : 1,808.64 = 1,114.08 : x
  2. Step 2: Convert to fraction form
    1,204.80/1,808.64 = 1,114.08/x
  3. Step 3: Cross multiply
    1,204.80x = 1,808.64 × 1,114.08
  4. Step 4: Simplify right side
    1,204.80x = 2,014,969.65
  5. Step 5: Solve for x
    x = 2,014,969.65/1,204.80
  6. Step 6: Final answer
    x = 1,672.45

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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.