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Finding the Fourth Proportional to 1,854.81, 2,782.26 and 622.17

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Solution

The fourth proportional to 1,854.81, 2,782.26 and 622.17 is: 933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.81 : 2,782.26 = 622.17 : x
  2. Step 2: Convert to fraction form
    1,854.81/2,782.26 = 622.17/x
  3. Step 3: Cross multiply
    1,854.81x = 2,782.26 × 622.17
  4. Step 4: Simplify right side
    1,854.81x = 1,731,038.70
  5. Step 5: Solve for x
    x = 1,731,038.70/1,854.81
  6. Step 6: Final answer
    x = 933.27

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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.