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Finding the Fourth Proportional to 1,809.12, 2,493.60 and 1,248.64

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Solution

The fourth proportional to 1,809.12, 2,493.60 and 1,248.64 is: 1,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.12 : 2,493.60 = 1,248.64 : x
  2. Step 2: Convert to fraction form
    1,809.12/2,493.60 = 1,248.64/x
  3. Step 3: Cross multiply
    1,809.12x = 2,493.60 × 1,248.64
  4. Step 4: Simplify right side
    1,809.12x = 3,113,608.70
  5. Step 5: Solve for x
    x = 3,113,608.70/1,809.12
  6. Step 6: Final answer
    x = 1,721.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.