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Finding the Fourth Proportional to 2,072.50, 2,860.05 and 1,141

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Solution

The fourth proportional to 2,072.50, 2,860.05 and 1,141 is: 1,574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.50 : 2,860.05 = 1,141 : x
  2. Step 2: Convert to fraction form
    2,072.50/2,860.05 = 1,141/x
  3. Step 3: Cross multiply
    2,072.50x = 2,860.05 × 1,141
  4. Step 4: Simplify right side
    2,072.50x = 3,263,317.05
  5. Step 5: Solve for x
    x = 3,263,317.05/2,072.50
  6. Step 6: Final answer
    x = 1,574.58

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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.