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Finding the Fourth Proportional to 2,842.12, 3,921.60 and 1,957.60

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Solution

The fourth proportional to 2,842.12, 3,921.60 and 1,957.60 is: 2,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.12 : 3,921.60 = 1,957.60 : x
  2. Step 2: Convert to fraction form
    2,842.12/3,921.60 = 1,957.60/x
  3. Step 3: Cross multiply
    2,842.12x = 3,921.60 × 1,957.60
  4. Step 4: Simplify right side
    2,842.12x = 7,676,924.16
  5. Step 5: Solve for x
    x = 7,676,924.16/2,842.12
  6. Step 6: Final answer
    x = 2,701.13

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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.