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Finding the Fourth Proportional to 2,713.30, 3,747.44 and 1,827.58

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Solution

The fourth proportional to 2,713.30, 3,747.44 and 1,827.58 is: 2,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.30 : 3,747.44 = 1,827.58 : x
  2. Step 2: Convert to fraction form
    2,713.30/3,747.44 = 1,827.58/x
  3. Step 3: Cross multiply
    2,713.30x = 3,747.44 × 1,827.58
  4. Step 4: Simplify right side
    2,713.30x = 6,848,746.40
  5. Step 5: Solve for x
    x = 6,848,746.40/2,713.30
  6. Step 6: Final answer
    x = 2,524.14

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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.