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Finding the Fourth Proportional to 1,850.86, 2,774.84 and 925.94

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Solution

The fourth proportional to 1,850.86, 2,774.84 and 925.94 is: 1,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.86 : 2,774.84 = 925.94 : x
  2. Step 2: Convert to fraction form
    1,850.86/2,774.84 = 925.94/x
  3. Step 3: Cross multiply
    1,850.86x = 2,774.84 × 925.94
  4. Step 4: Simplify right side
    1,850.86x = 2,569,327.26
  5. Step 5: Solve for x
    x = 2,569,327.26/1,850.86
  6. Step 6: Final answer
    x = 1,388.18

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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.