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Finding the Fourth Proportional to 2,560.77, 3,833.76 and 1,503.39

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Solution

The fourth proportional to 2,560.77, 3,833.76 and 1,503.39 is: 2,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.77 : 3,833.76 = 1,503.39 : x
  2. Step 2: Convert to fraction form
    2,560.77/3,833.76 = 1,503.39/x
  3. Step 3: Cross multiply
    2,560.77x = 3,833.76 × 1,503.39
  4. Step 4: Simplify right side
    2,560.77x = 5,763,636.45
  5. Step 5: Solve for x
    x = 5,763,636.45/2,560.77
  6. Step 6: Final answer
    x = 2,250.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.