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Finding the Fourth Proportional to 1,842.15, 2,542.41 and 1,056.05

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Solution

The fourth proportional to 1,842.15, 2,542.41 and 1,056.05 is: 1,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.15 : 2,542.41 = 1,056.05 : x
  2. Step 2: Convert to fraction form
    1,842.15/2,542.41 = 1,056.05/x
  3. Step 3: Cross multiply
    1,842.15x = 2,542.41 × 1,056.05
  4. Step 4: Simplify right side
    1,842.15x = 2,684,899.37
  5. Step 5: Solve for x
    x = 2,684,899.37/1,842.15
  6. Step 6: Final answer
    x = 1,457.48

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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.