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Finding the Fourth Proportional to 2,466.45, 3,402.67 and 1,615.45

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Solution

The fourth proportional to 2,466.45, 3,402.67 and 1,615.45 is: 2,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.45 : 3,402.67 = 1,615.45 : x
  2. Step 2: Convert to fraction form
    2,466.45/3,402.67 = 1,615.45/x
  3. Step 3: Cross multiply
    2,466.45x = 3,402.67 × 1,615.45
  4. Step 4: Simplify right side
    2,466.45x = 5,496,843.47
  5. Step 5: Solve for x
    x = 5,496,843.47/2,466.45
  6. Step 6: Final answer
    x = 2,228.65

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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.