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Finding the Fourth Proportional to 3,074.94, 4,242.16 and 2,143.98

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Solution

The fourth proportional to 3,074.94, 4,242.16 and 2,143.98 is: 2,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.94 : 4,242.16 = 2,143.98 : x
  2. Step 2: Convert to fraction form
    3,074.94/4,242.16 = 2,143.98/x
  3. Step 3: Cross multiply
    3,074.94x = 4,242.16 × 2,143.98
  4. Step 4: Simplify right side
    3,074.94x = 9,095,106.20
  5. Step 5: Solve for x
    x = 9,095,106.20/3,074.94
  6. Step 6: Final answer
    x = 2,957.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.