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Finding the Fourth Proportional to 2,842.01, 4,255.87 and 1,798.86

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Solution

The fourth proportional to 2,842.01, 4,255.87 and 1,798.86 is: 2,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.01 : 4,255.87 = 1,798.86 : x
  2. Step 2: Convert to fraction form
    2,842.01/4,255.87 = 1,798.86/x
  3. Step 3: Cross multiply
    2,842.01x = 4,255.87 × 1,798.86
  4. Step 4: Simplify right side
    2,842.01x = 7,655,714.31
  5. Step 5: Solve for x
    x = 7,655,714.31/2,842.01
  6. Step 6: Final answer
    x = 2,693.77

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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.