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Finding the Fourth Proportional to 2,563.76, 3,825.51 and 2,407.02

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Solution

The fourth proportional to 2,563.76, 3,825.51 and 2,407.02 is: 3,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.76 : 3,825.51 = 2,407.02 : x
  2. Step 2: Convert to fraction form
    2,563.76/3,825.51 = 2,407.02/x
  3. Step 3: Cross multiply
    2,563.76x = 3,825.51 × 2,407.02
  4. Step 4: Simplify right side
    2,563.76x = 9,208,079.08
  5. Step 5: Solve for x
    x = 9,208,079.08/2,563.76
  6. Step 6: Final answer
    x = 3,591.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.