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Finding the Fourth Proportional to 2,648.64, 3,661.62 and 2,623.72

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Solution

The fourth proportional to 2,648.64, 3,661.62 and 2,623.72 is: 3,627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.64 : 3,661.62 = 2,623.72 : x
  2. Step 2: Convert to fraction form
    2,648.64/3,661.62 = 2,623.72/x
  3. Step 3: Cross multiply
    2,648.64x = 3,661.62 × 2,623.72
  4. Step 4: Simplify right side
    2,648.64x = 9,607,065.63
  5. Step 5: Solve for x
    x = 9,607,065.63/2,648.64
  6. Step 6: Final answer
    x = 3,627.17

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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.