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Finding the Fourth Proportional to 3,164.55, 4,366.20 and 2,045.55

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Solution

The fourth proportional to 3,164.55, 4,366.20 and 2,045.55 is: 2,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.55 : 4,366.20 = 2,045.55 : x
  2. Step 2: Convert to fraction form
    3,164.55/4,366.20 = 2,045.55/x
  3. Step 3: Cross multiply
    3,164.55x = 4,366.20 × 2,045.55
  4. Step 4: Simplify right side
    3,164.55x = 8,931,280.41
  5. Step 5: Solve for x
    x = 8,931,280.41/3,164.55
  6. Step 6: Final answer
    x = 2,822.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.