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Finding the Fourth Proportional to 3,307.14, 4,960.65 and 841.98

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Solution

The fourth proportional to 3,307.14, 4,960.65 and 841.98 is: 1,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.14 : 4,960.65 = 841.98 : x
  2. Step 2: Convert to fraction form
    3,307.14/4,960.65 = 841.98/x
  3. Step 3: Cross multiply
    3,307.14x = 4,960.65 × 841.98
  4. Step 4: Simplify right side
    3,307.14x = 4,176,768.09
  5. Step 5: Solve for x
    x = 4,176,768.09/3,307.14
  6. Step 6: Final answer
    x = 1,262.95

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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.