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Finding the Fourth Proportional to 2,665.59, 3,678.62 and 1,486.74

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Solution

The fourth proportional to 2,665.59, 3,678.62 and 1,486.74 is: 2,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.59 : 3,678.62 = 1,486.74 : x
  2. Step 2: Convert to fraction form
    2,665.59/3,678.62 = 1,486.74/x
  3. Step 3: Cross multiply
    2,665.59x = 3,678.62 × 1,486.74
  4. Step 4: Simplify right side
    2,665.59x = 5,469,151.50
  5. Step 5: Solve for x
    x = 5,469,151.50/2,665.59
  6. Step 6: Final answer
    x = 2,051.76

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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.