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Finding the Fourth Proportional to 2,653.44, 3,649.57 and 2,128.32

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Solution

The fourth proportional to 2,653.44, 3,649.57 and 2,128.32 is: 2,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.44 : 3,649.57 = 2,128.32 : x
  2. Step 2: Convert to fraction form
    2,653.44/3,649.57 = 2,128.32/x
  3. Step 3: Cross multiply
    2,653.44x = 3,649.57 × 2,128.32
  4. Step 4: Simplify right side
    2,653.44x = 7,767,429.25
  5. Step 5: Solve for x
    x = 7,767,429.25/2,653.44
  6. Step 6: Final answer
    x = 2,927.31

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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.