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Finding the Fourth Proportional to 2,905.66, 4,010.74 and 1,857.72

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Solution

The fourth proportional to 2,905.66, 4,010.74 and 1,857.72 is: 2,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.66 : 4,010.74 = 1,857.72 : x
  2. Step 2: Convert to fraction form
    2,905.66/4,010.74 = 1,857.72/x
  3. Step 3: Cross multiply
    2,905.66x = 4,010.74 × 1,857.72
  4. Step 4: Simplify right side
    2,905.66x = 7,450,842.31
  5. Step 5: Solve for x
    x = 7,450,842.31/2,905.66
  6. Step 6: Final answer
    x = 2,564.25

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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.