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Finding the Fourth Proportional to 2,549.88, 3,513.42 and 2,053.08

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Solution

The fourth proportional to 2,549.88, 3,513.42 and 2,053.08 is: 2,828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.88 : 3,513.42 = 2,053.08 : x
  2. Step 2: Convert to fraction form
    2,549.88/3,513.42 = 2,053.08/x
  3. Step 3: Cross multiply
    2,549.88x = 3,513.42 × 2,053.08
  4. Step 4: Simplify right side
    2,549.88x = 7,213,332.33
  5. Step 5: Solve for x
    x = 7,213,332.33/2,549.88
  6. Step 6: Final answer
    x = 2,828.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.