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Finding the Fourth Proportional to 2,524.91, 3,482.40 and 1,641

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Solution

The fourth proportional to 2,524.91, 3,482.40 and 1,641 is: 2,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.91 : 3,482.40 = 1,641 : x
  2. Step 2: Convert to fraction form
    2,524.91/3,482.40 = 1,641/x
  3. Step 3: Cross multiply
    2,524.91x = 3,482.40 × 1,641
  4. Step 4: Simplify right side
    2,524.91x = 5,714,618.40
  5. Step 5: Solve for x
    x = 5,714,618.40/2,524.91
  6. Step 6: Final answer
    x = 2,263.30

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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.