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Finding the Fourth Proportional to 2,259.79, 3,390.19 and 1,027.38

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Solution

The fourth proportional to 2,259.79, 3,390.19 and 1,027.38 is: 1,541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.79 : 3,390.19 = 1,027.38 : x
  2. Step 2: Convert to fraction form
    2,259.79/3,390.19 = 1,027.38/x
  3. Step 3: Cross multiply
    2,259.79x = 3,390.19 × 1,027.38
  4. Step 4: Simplify right side
    2,259.79x = 3,483,006.43
  5. Step 5: Solve for x
    x = 3,483,006.43/2,259.79
  6. Step 6: Final answer
    x = 1,541.30

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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.