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Finding the Fourth Proportional to 2,155.41, 3,232.78 and 595.55

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Solution

The fourth proportional to 2,155.41, 3,232.78 and 595.55 is: 893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.41 : 3,232.78 = 595.55 : x
  2. Step 2: Convert to fraction form
    2,155.41/3,232.78 = 595.55/x
  3. Step 3: Cross multiply
    2,155.41x = 3,232.78 × 595.55
  4. Step 4: Simplify right side
    2,155.41x = 1,925,288.72
  5. Step 5: Solve for x
    x = 1,925,288.72/2,155.41
  6. Step 6: Final answer
    x = 893.24

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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.