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Finding the Fourth Proportional to 3,312.05, 4,968.07 and 846.79

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Solution

The fourth proportional to 3,312.05, 4,968.07 and 846.79 is: 1,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.05 : 4,968.07 = 846.79 : x
  2. Step 2: Convert to fraction form
    3,312.05/4,968.07 = 846.79/x
  3. Step 3: Cross multiply
    3,312.05x = 4,968.07 × 846.79
  4. Step 4: Simplify right side
    3,312.05x = 4,206,897.46
  5. Step 5: Solve for x
    x = 4,206,897.46/3,312.05
  6. Step 6: Final answer
    x = 1,270.18

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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.