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Finding the Fourth Proportional to 2,507.76, 3,459.72 and 1,563

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Solution

The fourth proportional to 2,507.76, 3,459.72 and 1,563 is: 2,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.76 : 3,459.72 = 1,563 : x
  2. Step 2: Convert to fraction form
    2,507.76/3,459.72 = 1,563/x
  3. Step 3: Cross multiply
    2,507.76x = 3,459.72 × 1,563
  4. Step 4: Simplify right side
    2,507.76x = 5,407,542.36
  5. Step 5: Solve for x
    x = 5,407,542.36/2,507.76
  6. Step 6: Final answer
    x = 2,156.32

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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.