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Finding the Fourth Proportional to 1,845.53, 2,768.57 and 595.71

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Solution

The fourth proportional to 1,845.53, 2,768.57 and 595.71 is: 893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.53 : 2,768.57 = 595.71 : x
  2. Step 2: Convert to fraction form
    1,845.53/2,768.57 = 595.71/x
  3. Step 3: Cross multiply
    1,845.53x = 2,768.57 × 595.71
  4. Step 4: Simplify right side
    1,845.53x = 1,649,253.90
  5. Step 5: Solve for x
    x = 1,649,253.90/1,845.53
  6. Step 6: Final answer
    x = 893.65

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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.