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Finding the Fourth Proportional to 2,774.63, 4,161.95 and 1,475.80

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Solution

The fourth proportional to 2,774.63, 4,161.95 and 1,475.80 is: 2,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.63 : 4,161.95 = 1,475.80 : x
  2. Step 2: Convert to fraction form
    2,774.63/4,161.95 = 1,475.80/x
  3. Step 3: Cross multiply
    2,774.63x = 4,161.95 × 1,475.80
  4. Step 4: Simplify right side
    2,774.63x = 6,142,205.81
  5. Step 5: Solve for x
    x = 6,142,205.81/2,774.63
  6. Step 6: Final answer
    x = 2,213.70

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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.