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Finding the Fourth Proportional to 2,744.86, 3,789.65 and 1,802.32

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Solution

The fourth proportional to 2,744.86, 3,789.65 and 1,802.32 is: 2,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.86 : 3,789.65 = 1,802.32 : x
  2. Step 2: Convert to fraction form
    2,744.86/3,789.65 = 1,802.32/x
  3. Step 3: Cross multiply
    2,744.86x = 3,789.65 × 1,802.32
  4. Step 4: Simplify right side
    2,744.86x = 6,830,165.47
  5. Step 5: Solve for x
    x = 6,830,165.47/2,744.86
  6. Step 6: Final answer
    x = 2,488.35

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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.