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Finding the Fourth Proportional to 1,850.29, 2,774.76 and 1,559.83

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Solution

The fourth proportional to 1,850.29, 2,774.76 and 1,559.83 is: 2,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.29 : 2,774.76 = 1,559.83 : x
  2. Step 2: Convert to fraction form
    1,850.29/2,774.76 = 1,559.83/x
  3. Step 3: Cross multiply
    1,850.29x = 2,774.76 × 1,559.83
  4. Step 4: Simplify right side
    1,850.29x = 4,328,154.11
  5. Step 5: Solve for x
    x = 4,328,154.11/1,850.29
  6. Step 6: Final answer
    x = 2,339.17

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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.