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Finding the Fourth Proportional to 4,970.89, 7,451.69 and 1,681.69

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Solution

The fourth proportional to 4,970.89, 7,451.69 and 1,681.69 is: 2,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.89 : 7,451.69 = 1,681.69 : x
  2. Step 2: Convert to fraction form
    4,970.89/7,451.69 = 1,681.69/x
  3. Step 3: Cross multiply
    4,970.89x = 7,451.69 × 1,681.69
  4. Step 4: Simplify right side
    4,970.89x = 12,531,436.76
  5. Step 5: Solve for x
    x = 12,531,436.76/4,970.89
  6. Step 6: Final answer
    x = 2,520.97

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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.