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Finding the Fourth Proportional to 3,182.63, 4,774.21 and 874.13

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Solution

The fourth proportional to 3,182.63, 4,774.21 and 874.13 is: 1,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.63 : 4,774.21 = 874.13 : x
  2. Step 2: Convert to fraction form
    3,182.63/4,774.21 = 874.13/x
  3. Step 3: Cross multiply
    3,182.63x = 4,774.21 × 874.13
  4. Step 4: Simplify right side
    3,182.63x = 4,173,254.13
  5. Step 5: Solve for x
    x = 4,173,254.13/3,182.63
  6. Step 6: Final answer
    x = 1,311.26

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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.