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Finding the Fourth Proportional to 2,546.90, 3,515.04 and 1,552.32

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Solution

The fourth proportional to 2,546.90, 3,515.04 and 1,552.32 is: 2,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.90 : 3,515.04 = 1,552.32 : x
  2. Step 2: Convert to fraction form
    2,546.90/3,515.04 = 1,552.32/x
  3. Step 3: Cross multiply
    2,546.90x = 3,515.04 × 1,552.32
  4. Step 4: Simplify right side
    2,546.90x = 5,456,466.89
  5. Step 5: Solve for x
    x = 5,456,466.89/2,546.90
  6. Step 6: Final answer
    x = 2,142.40

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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.