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Finding the Fourth Proportional to 2,572.16, 3,860.06 and 1,842.35

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Solution

The fourth proportional to 2,572.16, 3,860.06 and 1,842.35 is: 2,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.16 : 3,860.06 = 1,842.35 : x
  2. Step 2: Convert to fraction form
    2,572.16/3,860.06 = 1,842.35/x
  3. Step 3: Cross multiply
    2,572.16x = 3,860.06 × 1,842.35
  4. Step 4: Simplify right side
    2,572.16x = 7,111,553.03
  5. Step 5: Solve for x
    x = 7,111,553.03/2,572.16
  6. Step 6: Final answer
    x = 2,764.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.