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Finding the Fourth Proportional to 2,804.48, 4,213.56 and 1,985.12

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Solution

The fourth proportional to 2,804.48, 4,213.56 and 1,985.12 is: 2,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.48 : 4,213.56 = 1,985.12 : x
  2. Step 2: Convert to fraction form
    2,804.48/4,213.56 = 1,985.12/x
  3. Step 3: Cross multiply
    2,804.48x = 4,213.56 × 1,985.12
  4. Step 4: Simplify right side
    2,804.48x = 8,364,422.23
  5. Step 5: Solve for x
    x = 8,364,422.23/2,804.48
  6. Step 6: Final answer
    x = 2,982.52

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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.