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Finding the Fourth Proportional to 1,760.73, 2,653.20 and 1,459.35

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Solution

The fourth proportional to 1,760.73, 2,653.20 and 1,459.35 is: 2,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.73 : 2,653.20 = 1,459.35 : x
  2. Step 2: Convert to fraction form
    1,760.73/2,653.20 = 1,459.35/x
  3. Step 3: Cross multiply
    1,760.73x = 2,653.20 × 1,459.35
  4. Step 4: Simplify right side
    1,760.73x = 3,871,947.42
  5. Step 5: Solve for x
    x = 3,871,947.42/1,760.73
  6. Step 6: Final answer
    x = 2,199.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.