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Finding the Fourth Proportional to 2,122.55, 3,182.01 and 805.57

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Solution

The fourth proportional to 2,122.55, 3,182.01 and 805.57 is: 1,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.55 : 3,182.01 = 805.57 : x
  2. Step 2: Convert to fraction form
    2,122.55/3,182.01 = 805.57/x
  3. Step 3: Cross multiply
    2,122.55x = 3,182.01 × 805.57
  4. Step 4: Simplify right side
    2,122.55x = 2,563,315.89
  5. Step 5: Solve for x
    x = 2,563,315.89/2,122.55
  6. Step 6: Final answer
    x = 1,207.66

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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.