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Finding the Fourth Proportional to 1,809.64, 2,496.54 and 1,219.15

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Solution

The fourth proportional to 1,809.64, 2,496.54 and 1,219.15 is: 1,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.64 : 2,496.54 = 1,219.15 : x
  2. Step 2: Convert to fraction form
    1,809.64/2,496.54 = 1,219.15/x
  3. Step 3: Cross multiply
    1,809.64x = 2,496.54 × 1,219.15
  4. Step 4: Simplify right side
    1,809.64x = 3,043,656.74
  5. Step 5: Solve for x
    x = 3,043,656.74/1,809.64
  6. Step 6: Final answer
    x = 1,681.91

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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.