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Finding the Fourth Proportional to 1,854.73, 2,782.10 and 1,506.41

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Solution

The fourth proportional to 1,854.73, 2,782.10 and 1,506.41 is: 2,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.73 : 2,782.10 = 1,506.41 : x
  2. Step 2: Convert to fraction form
    1,854.73/2,782.10 = 1,506.41/x
  3. Step 3: Cross multiply
    1,854.73x = 2,782.10 × 1,506.41
  4. Step 4: Simplify right side
    1,854.73x = 4,190,961.82
  5. Step 5: Solve for x
    x = 4,190,961.82/1,854.73
  6. Step 6: Final answer
    x = 2,259.61

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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.