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Finding the Fourth Proportional to 1,858.44, 2,790.90 and 1,706.52

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Solution

The fourth proportional to 1,858.44, 2,790.90 and 1,706.52 is: 2,562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.44 : 2,790.90 = 1,706.52 : x
  2. Step 2: Convert to fraction form
    1,858.44/2,790.90 = 1,706.52/x
  3. Step 3: Cross multiply
    1,858.44x = 2,790.90 × 1,706.52
  4. Step 4: Simplify right side
    1,858.44x = 4,762,726.67
  5. Step 5: Solve for x
    x = 4,762,726.67/1,858.44
  6. Step 6: Final answer
    x = 2,562.76

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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.