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Finding the Fourth Proportional to 1,854.09, 2,780.26 and 683.71

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Solution

The fourth proportional to 1,854.09, 2,780.26 and 683.71 is: 1,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.09 : 2,780.26 = 683.71 : x
  2. Step 2: Convert to fraction form
    1,854.09/2,780.26 = 683.71/x
  3. Step 3: Cross multiply
    1,854.09x = 2,780.26 × 683.71
  4. Step 4: Simplify right side
    1,854.09x = 1,900,882.90
  5. Step 5: Solve for x
    x = 1,900,882.90/1,854.09
  6. Step 6: Final answer
    x = 1,025.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.