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Finding the Fourth Proportional to 1,653.15, 2,179.89 and 1,653.15

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Solution

The fourth proportional to 1,653.15, 2,179.89 and 1,653.15 is: 2,179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.15 : 2,179.89 = 1,653.15 : x
  2. Step 2: Convert to fraction form
    1,653.15/2,179.89 = 1,653.15/x
  3. Step 3: Cross multiply
    1,653.15x = 2,179.89 × 1,653.15
  4. Step 4: Simplify right side
    1,653.15x = 3,603,685.15
  5. Step 5: Solve for x
    x = 3,603,685.15/1,653.15
  6. Step 6: Final answer
    x = 2,179.89

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.