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Finding the Fourth Proportional to 1,829.90, 2,519.15 and 1,605.39

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Solution

The fourth proportional to 1,829.90, 2,519.15 and 1,605.39 is: 2,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.90 : 2,519.15 = 1,605.39 : x
  2. Step 2: Convert to fraction form
    1,829.90/2,519.15 = 1,605.39/x
  3. Step 3: Cross multiply
    1,829.90x = 2,519.15 × 1,605.39
  4. Step 4: Simplify right side
    1,829.90x = 4,044,231.03
  5. Step 5: Solve for x
    x = 4,044,231.03/1,829.90
  6. Step 6: Final answer
    x = 2,210.08

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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.