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Finding the Fourth Proportional to 2,842.40, 4,254.72 and 1,803.44

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Solution

The fourth proportional to 2,842.40, 4,254.72 and 1,803.44 is: 2,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.40 : 4,254.72 = 1,803.44 : x
  2. Step 2: Convert to fraction form
    2,842.40/4,254.72 = 1,803.44/x
  3. Step 3: Cross multiply
    2,842.40x = 4,254.72 × 1,803.44
  4. Step 4: Simplify right side
    2,842.40x = 7,673,132.24
  5. Step 5: Solve for x
    x = 7,673,132.24/2,842.40
  6. Step 6: Final answer
    x = 2,699.53

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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.