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Finding the Fourth Proportional to 1,830.72, 2,527.71 and 1,653.33

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Solution

The fourth proportional to 1,830.72, 2,527.71 and 1,653.33 is: 2,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.72 : 2,527.71 = 1,653.33 : x
  2. Step 2: Convert to fraction form
    1,830.72/2,527.71 = 1,653.33/x
  3. Step 3: Cross multiply
    1,830.72x = 2,527.71 × 1,653.33
  4. Step 4: Simplify right side
    1,830.72x = 4,179,138.77
  5. Step 5: Solve for x
    x = 4,179,138.77/1,830.72
  6. Step 6: Final answer
    x = 2,282.78

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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.