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Finding the Fourth Proportional to 2,072.12, 2,860.13 and 1,655.38

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Solution

The fourth proportional to 2,072.12, 2,860.13 and 1,655.38 is: 2,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.12 : 2,860.13 = 1,655.38 : x
  2. Step 2: Convert to fraction form
    2,072.12/2,860.13 = 1,655.38/x
  3. Step 3: Cross multiply
    2,072.12x = 2,860.13 × 1,655.38
  4. Step 4: Simplify right side
    2,072.12x = 4,734,598.99
  5. Step 5: Solve for x
    x = 4,734,598.99/2,072.12
  6. Step 6: Final answer
    x = 2,284.90

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Why These Related Problems?

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