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Finding the Fourth Proportional to 2,698.32, 3,722.48 and 1,649.76

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Solution

The fourth proportional to 2,698.32, 3,722.48 and 1,649.76 is: 2,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.32 : 3,722.48 = 1,649.76 : x
  2. Step 2: Convert to fraction form
    2,698.32/3,722.48 = 1,649.76/x
  3. Step 3: Cross multiply
    2,698.32x = 3,722.48 × 1,649.76
  4. Step 4: Simplify right side
    2,698.32x = 6,141,198.60
  5. Step 5: Solve for x
    x = 6,141,198.60/2,698.32
  6. Step 6: Final answer
    x = 2,275.93

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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.