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Finding the Fourth Proportional to 3,121.46, 4,682.54 and 1,041.74

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Solution

The fourth proportional to 3,121.46, 4,682.54 and 1,041.74 is: 1,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.46 : 4,682.54 = 1,041.74 : x
  2. Step 2: Convert to fraction form
    3,121.46/4,682.54 = 1,041.74/x
  3. Step 3: Cross multiply
    3,121.46x = 4,682.54 × 1,041.74
  4. Step 4: Simplify right side
    3,121.46x = 4,877,968.41
  5. Step 5: Solve for x
    x = 4,877,968.41/3,121.46
  6. Step 6: Final answer
    x = 1,562.72

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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.