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Finding the Fourth Proportional to 2,678.60, 3,694.01 and 1,837.82

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Solution

The fourth proportional to 2,678.60, 3,694.01 and 1,837.82 is: 2,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.60 : 3,694.01 = 1,837.82 : x
  2. Step 2: Convert to fraction form
    2,678.60/3,694.01 = 1,837.82/x
  3. Step 3: Cross multiply
    2,678.60x = 3,694.01 × 1,837.82
  4. Step 4: Simplify right side
    2,678.60x = 6,788,925.50
  5. Step 5: Solve for x
    x = 6,788,925.50/2,678.60
  6. Step 6: Final answer
    x = 2,534.50

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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.