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Finding the Fourth Proportional to 2,065.57, 2,850.51 and 1,121.38

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Solution

The fourth proportional to 2,065.57, 2,850.51 and 1,121.38 is: 1,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.57 : 2,850.51 = 1,121.38 : x
  2. Step 2: Convert to fraction form
    2,065.57/2,850.51 = 1,121.38/x
  3. Step 3: Cross multiply
    2,065.57x = 2,850.51 × 1,121.38
  4. Step 4: Simplify right side
    2,065.57x = 3,196,504.90
  5. Step 5: Solve for x
    x = 3,196,504.90/2,065.57
  6. Step 6: Final answer
    x = 1,547.52

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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.