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Finding the Fourth Proportional to 2,003.13, 2,992.52 and 1,675.08

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Solution

The fourth proportional to 2,003.13, 2,992.52 and 1,675.08 is: 2,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.13 : 2,992.52 = 1,675.08 : x
  2. Step 2: Convert to fraction form
    2,003.13/2,992.52 = 1,675.08/x
  3. Step 3: Cross multiply
    2,003.13x = 2,992.52 × 1,675.08
  4. Step 4: Simplify right side
    2,003.13x = 5,012,710.40
  5. Step 5: Solve for x
    x = 5,012,710.40/2,003.13
  6. Step 6: Final answer
    x = 2,502.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.