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Finding the Fourth Proportional to 2,653.16, 3,659.84 and 2,202.48

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Solution

The fourth proportional to 2,653.16, 3,659.84 and 2,202.48 is: 3,038.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.16 : 3,659.84 = 2,202.48 : x
  2. Step 2: Convert to fraction form
    2,653.16/3,659.84 = 2,202.48/x
  3. Step 3: Cross multiply
    2,653.16x = 3,659.84 × 2,202.48
  4. Step 4: Simplify right side
    2,653.16x = 8,060,724.40
  5. Step 5: Solve for x
    x = 8,060,724.40/2,653.16
  6. Step 6: Final answer
    x = 3,038.16

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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.