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Finding the Fourth Proportional to 2,503.98, 3,455.10 and 1,455.84

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Solution

The fourth proportional to 2,503.98, 3,455.10 and 1,455.84 is: 2,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.98 : 3,455.10 = 1,455.84 : x
  2. Step 2: Convert to fraction form
    2,503.98/3,455.10 = 1,455.84/x
  3. Step 3: Cross multiply
    2,503.98x = 3,455.10 × 1,455.84
  4. Step 4: Simplify right side
    2,503.98x = 5,030,072.78
  5. Step 5: Solve for x
    x = 5,030,072.78/2,503.98
  6. Step 6: Final answer
    x = 2,008.83

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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.