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Finding the Fourth Proportional to 2,582.69, 3,563.40 and 1,698.79

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Solution

The fourth proportional to 2,582.69, 3,563.40 and 1,698.79 is: 2,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.69 : 3,563.40 = 1,698.79 : x
  2. Step 2: Convert to fraction form
    2,582.69/3,563.40 = 1,698.79/x
  3. Step 3: Cross multiply
    2,582.69x = 3,563.40 × 1,698.79
  4. Step 4: Simplify right side
    2,582.69x = 6,053,468.29
  5. Step 5: Solve for x
    x = 6,053,468.29/2,582.69
  6. Step 6: Final answer
    x = 2,343.86

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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.