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Finding the Fourth Proportional to 2,259.72, 3,119.58 and 1,597.14

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Solution

The fourth proportional to 2,259.72, 3,119.58 and 1,597.14 is: 2,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.72 : 3,119.58 = 1,597.14 : x
  2. Step 2: Convert to fraction form
    2,259.72/3,119.58 = 1,597.14/x
  3. Step 3: Cross multiply
    2,259.72x = 3,119.58 × 1,597.14
  4. Step 4: Simplify right side
    2,259.72x = 4,982,406.00
  5. Step 5: Solve for x
    x = 4,982,406.00/2,259.72
  6. Step 6: Final answer
    x = 2,204.88

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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.