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Finding the Fourth Proportional to 2,698.29, 3,722.98 and 1,800.26

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Solution

The fourth proportional to 2,698.29, 3,722.98 and 1,800.26 is: 2,483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.29 : 3,722.98 = 1,800.26 : x
  2. Step 2: Convert to fraction form
    2,698.29/3,722.98 = 1,800.26/x
  3. Step 3: Cross multiply
    2,698.29x = 3,722.98 × 1,800.26
  4. Step 4: Simplify right side
    2,698.29x = 6,702,331.97
  5. Step 5: Solve for x
    x = 6,702,331.97/2,698.29
  6. Step 6: Final answer
    x = 2,483.92

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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.