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Finding the Fourth Proportional to 3,182.34, 4,776.24 and 1,235.90

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Solution

The fourth proportional to 3,182.34, 4,776.24 and 1,235.90 is: 1,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.34 : 4,776.24 = 1,235.90 : x
  2. Step 2: Convert to fraction form
    3,182.34/4,776.24 = 1,235.90/x
  3. Step 3: Cross multiply
    3,182.34x = 4,776.24 × 1,235.90
  4. Step 4: Simplify right side
    3,182.34x = 5,902,955.02
  5. Step 5: Solve for x
    x = 5,902,955.02/3,182.34
  6. Step 6: Final answer
    x = 1,854.91

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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.