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Finding the Fourth Proportional to 1,857.72, 2,780.82 and 1,089.72

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Solution

The fourth proportional to 1,857.72, 2,780.82 and 1,089.72 is: 1,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.72 : 2,780.82 = 1,089.72 : x
  2. Step 2: Convert to fraction form
    1,857.72/2,780.82 = 1,089.72/x
  3. Step 3: Cross multiply
    1,857.72x = 2,780.82 × 1,089.72
  4. Step 4: Simplify right side
    1,857.72x = 3,030,315.17
  5. Step 5: Solve for x
    x = 3,030,315.17/1,857.72
  6. Step 6: Final answer
    x = 1,631.20

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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.