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Finding the Fourth Proportional to 1,853.90, 2,780.72 and 1,123.28

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Solution

The fourth proportional to 1,853.90, 2,780.72 and 1,123.28 is: 1,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.90 : 2,780.72 = 1,123.28 : x
  2. Step 2: Convert to fraction form
    1,853.90/2,780.72 = 1,123.28/x
  3. Step 3: Cross multiply
    1,853.90x = 2,780.72 × 1,123.28
  4. Step 4: Simplify right side
    1,853.90x = 3,123,527.16
  5. Step 5: Solve for x
    x = 3,123,527.16/1,853.90
  6. Step 6: Final answer
    x = 1,684.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.