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Finding the Fourth Proportional to 2,155.42, 3,232.52 and 595.06

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Solution

The fourth proportional to 2,155.42, 3,232.52 and 595.06 is: 892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.42 : 3,232.52 = 595.06 : x
  2. Step 2: Convert to fraction form
    2,155.42/3,232.52 = 595.06/x
  3. Step 3: Cross multiply
    2,155.42x = 3,232.52 × 595.06
  4. Step 4: Simplify right side
    2,155.42x = 1,923,543.35
  5. Step 5: Solve for x
    x = 1,923,543.35/2,155.42
  6. Step 6: Final answer
    x = 892.42

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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.