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Finding the Fourth Proportional to 4,969.84, 7,455.80 and 2,048.12

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Solution

The fourth proportional to 4,969.84, 7,455.80 and 2,048.12 is: 3,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.84 : 7,455.80 = 2,048.12 : x
  2. Step 2: Convert to fraction form
    4,969.84/7,455.80 = 2,048.12/x
  3. Step 3: Cross multiply
    4,969.84x = 7,455.80 × 2,048.12
  4. Step 4: Simplify right side
    4,969.84x = 15,270,373.10
  5. Step 5: Solve for x
    x = 15,270,373.10/4,969.84
  6. Step 6: Final answer
    x = 3,072.61

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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.