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Finding the Fourth Proportional to 2,602.67, 3,899.88 and 1,823.99

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Solution

The fourth proportional to 2,602.67, 3,899.88 and 1,823.99 is: 2,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.67 : 3,899.88 = 1,823.99 : x
  2. Step 2: Convert to fraction form
    2,602.67/3,899.88 = 1,823.99/x
  3. Step 3: Cross multiply
    2,602.67x = 3,899.88 × 1,823.99
  4. Step 4: Simplify right side
    2,602.67x = 7,113,322.62
  5. Step 5: Solve for x
    x = 7,113,322.62/2,602.67
  6. Step 6: Final answer
    x = 2,733.09

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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.