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Finding the Fourth Proportional to 2,798.40, 4,194.12 and 1,335.60

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Solution

The fourth proportional to 2,798.40, 4,194.12 and 1,335.60 is: 2,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.40 : 4,194.12 = 1,335.60 : x
  2. Step 2: Convert to fraction form
    2,798.40/4,194.12 = 1,335.60/x
  3. Step 3: Cross multiply
    2,798.40x = 4,194.12 × 1,335.60
  4. Step 4: Simplify right side
    2,798.40x = 5,601,666.67
  5. Step 5: Solve for x
    x = 5,601,666.67/2,798.40
  6. Step 6: Final answer
    x = 2,001.74

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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.