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Finding the Fourth Proportional to 3,313.65, 4,971.02 and 1,122.51

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Solution

The fourth proportional to 3,313.65, 4,971.02 and 1,122.51 is: 1,683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.65 : 4,971.02 = 1,122.51 : x
  2. Step 2: Convert to fraction form
    3,313.65/4,971.02 = 1,122.51/x
  3. Step 3: Cross multiply
    3,313.65x = 4,971.02 × 1,122.51
  4. Step 4: Simplify right side
    3,313.65x = 5,580,014.05
  5. Step 5: Solve for x
    x = 5,580,014.05/3,313.65
  6. Step 6: Final answer
    x = 1,683.95

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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.