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Finding the Fourth Proportional to 2,678.65, 3,696.42 and 1,499.69

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Solution

The fourth proportional to 2,678.65, 3,696.42 and 1,499.69 is: 2,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.65 : 3,696.42 = 1,499.69 : x
  2. Step 2: Convert to fraction form
    2,678.65/3,696.42 = 1,499.69/x
  3. Step 3: Cross multiply
    2,678.65x = 3,696.42 × 1,499.69
  4. Step 4: Simplify right side
    2,678.65x = 5,543,484.11
  5. Step 5: Solve for x
    x = 5,543,484.11/2,678.65
  6. Step 6: Final answer
    x = 2,069.51

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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.