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Finding the Fourth Proportional to 2,111.40, 3,167.10 and 813

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Solution

The fourth proportional to 2,111.40, 3,167.10 and 813 is: 1,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.40 : 3,167.10 = 813 : x
  2. Step 2: Convert to fraction form
    2,111.40/3,167.10 = 813/x
  3. Step 3: Cross multiply
    2,111.40x = 3,167.10 × 813
  4. Step 4: Simplify right side
    2,111.40x = 2,574,852.30
  5. Step 5: Solve for x
    x = 2,574,852.30/2,111.40
  6. Step 6: Final answer
    x = 1,219.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.