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Finding the Fourth Proportional to 2,114.20, 3,156.02 and 1,855

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Solution

The fourth proportional to 2,114.20, 3,156.02 and 1,855 is: 2,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.20 : 3,156.02 = 1,855 : x
  2. Step 2: Convert to fraction form
    2,114.20/3,156.02 = 1,855/x
  3. Step 3: Cross multiply
    2,114.20x = 3,156.02 × 1,855
  4. Step 4: Simplify right side
    2,114.20x = 5,854,417.10
  5. Step 5: Solve for x
    x = 5,854,417.10/2,114.20
  6. Step 6: Final answer
    x = 2,769.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.