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Finding the Fourth Proportional to 2,495.30, 3,733.82 and 2,083.42

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Solution

The fourth proportional to 2,495.30, 3,733.82 and 2,083.42 is: 3,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.30 : 3,733.82 = 2,083.42 : x
  2. Step 2: Convert to fraction form
    2,495.30/3,733.82 = 2,083.42/x
  3. Step 3: Cross multiply
    2,495.30x = 3,733.82 × 2,083.42
  4. Step 4: Simplify right side
    2,495.30x = 7,779,115.26
  5. Step 5: Solve for x
    x = 7,779,115.26/2,495.30
  6. Step 6: Final answer
    x = 3,117.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.