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Finding the Fourth Proportional to 1,854.74, 2,782.14 and 622.15

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Solution

The fourth proportional to 1,854.74, 2,782.14 and 622.15 is: 933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.74 : 2,782.14 = 622.15 : x
  2. Step 2: Convert to fraction form
    1,854.74/2,782.14 = 622.15/x
  3. Step 3: Cross multiply
    1,854.74x = 2,782.14 × 622.15
  4. Step 4: Simplify right side
    1,854.74x = 1,730,908.40
  5. Step 5: Solve for x
    x = 1,730,908.40/1,854.74
  6. Step 6: Final answer
    x = 933.24

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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.