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Finding the Fourth Proportional to 2,614.55, 3,598.67 and 2,365.34

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Solution

The fourth proportional to 2,614.55, 3,598.67 and 2,365.34 is: 3,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.55 : 3,598.67 = 2,365.34 : x
  2. Step 2: Convert to fraction form
    2,614.55/3,598.67 = 2,365.34/x
  3. Step 3: Cross multiply
    2,614.55x = 3,598.67 × 2,365.34
  4. Step 4: Simplify right side
    2,614.55x = 8,512,048.28
  5. Step 5: Solve for x
    x = 8,512,048.28/2,614.55
  6. Step 6: Final answer
    x = 3,255.65

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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.