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Finding the Fourth Proportional to 2,208.81, 3,047.89 and 1,312.23

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Solution

The fourth proportional to 2,208.81, 3,047.89 and 1,312.23 is: 1,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.81 : 3,047.89 = 1,312.23 : x
  2. Step 2: Convert to fraction form
    2,208.81/3,047.89 = 1,312.23/x
  3. Step 3: Cross multiply
    2,208.81x = 3,047.89 × 1,312.23
  4. Step 4: Simplify right side
    2,208.81x = 3,999,532.69
  5. Step 5: Solve for x
    x = 3,999,532.69/2,208.81
  6. Step 6: Final answer
    x = 1,810.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.