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Finding the Fourth Proportional to 2,065.54, 2,850.50 and 1,121.37

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Solution

The fourth proportional to 2,065.54, 2,850.50 and 1,121.37 is: 1,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.54 : 2,850.50 = 1,121.37 : x
  2. Step 2: Convert to fraction form
    2,065.54/2,850.50 = 1,121.37/x
  3. Step 3: Cross multiply
    2,065.54x = 2,850.50 × 1,121.37
  4. Step 4: Simplify right side
    2,065.54x = 3,196,465.19
  5. Step 5: Solve for x
    x = 3,196,465.19/2,065.54
  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.