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Finding the Fourth Proportional to 2,689.14, 3,712.29 and 1,805.58

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Solution

The fourth proportional to 2,689.14, 3,712.29 and 1,805.58 is: 2,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.14 : 3,712.29 = 1,805.58 : x
  2. Step 2: Convert to fraction form
    2,689.14/3,712.29 = 1,805.58/x
  3. Step 3: Cross multiply
    2,689.14x = 3,712.29 × 1,805.58
  4. Step 4: Simplify right side
    2,689.14x = 6,702,836.58
  5. Step 5: Solve for x
    x = 6,702,836.58/2,689.14
  6. Step 6: Final answer
    x = 2,492.56

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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.