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Finding the Fourth Proportional to 1,858.76, 2,565.23 and 1,072.83

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Solution

The fourth proportional to 1,858.76, 2,565.23 and 1,072.83 is: 1,480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.76 : 2,565.23 = 1,072.83 : x
  2. Step 2: Convert to fraction form
    1,858.76/2,565.23 = 1,072.83/x
  3. Step 3: Cross multiply
    1,858.76x = 2,565.23 × 1,072.83
  4. Step 4: Simplify right side
    1,858.76x = 2,752,050.34
  5. Step 5: Solve for x
    x = 2,752,050.34/1,858.76
  6. Step 6: Final answer
    x = 1,480.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.