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Finding the Fourth Proportional to 4,182.74, 6,266.52 and 1,957.46

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Solution

The fourth proportional to 4,182.74, 6,266.52 and 1,957.46 is: 2,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.74 : 6,266.52 = 1,957.46 : x
  2. Step 2: Convert to fraction form
    4,182.74/6,266.52 = 1,957.46/x
  3. Step 3: Cross multiply
    4,182.74x = 6,266.52 × 1,957.46
  4. Step 4: Simplify right side
    4,182.74x = 12,266,462.24
  5. Step 5: Solve for x
    x = 12,266,462.24/4,182.74
  6. Step 6: Final answer
    x = 2,932.64

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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.