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Finding the Fourth Proportional to 3,203.40, 4,782.15 and 2,974.98

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Solution

The fourth proportional to 3,203.40, 4,782.15 and 2,974.98 is: 4,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.40 : 4,782.15 = 2,974.98 : x
  2. Step 2: Convert to fraction form
    3,203.40/4,782.15 = 2,974.98/x
  3. Step 3: Cross multiply
    3,203.40x = 4,782.15 × 2,974.98
  4. Step 4: Simplify right side
    3,203.40x = 14,226,800.61
  5. Step 5: Solve for x
    x = 14,226,800.61/3,203.40
  6. Step 6: Final answer
    x = 4,441.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.