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Finding the Fourth Proportional to 2,259.57, 3,119.24 and 1,662.06

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Solution

The fourth proportional to 2,259.57, 3,119.24 and 1,662.06 is: 2,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.57 : 3,119.24 = 1,662.06 : x
  2. Step 2: Convert to fraction form
    2,259.57/3,119.24 = 1,662.06/x
  3. Step 3: Cross multiply
    2,259.57x = 3,119.24 × 1,662.06
  4. Step 4: Simplify right side
    2,259.57x = 5,184,368.19
  5. Step 5: Solve for x
    x = 5,184,368.19/2,259.57
  6. Step 6: Final answer
    x = 2,294.40

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Why These Related Problems?

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