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Finding the Fourth Proportional to 2,193.60, 3,276.16 and 1,902.08

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Solution

The fourth proportional to 2,193.60, 3,276.16 and 1,902.08 is: 2,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.60 : 3,276.16 = 1,902.08 : x
  2. Step 2: Convert to fraction form
    2,193.60/3,276.16 = 1,902.08/x
  3. Step 3: Cross multiply
    2,193.60x = 3,276.16 × 1,902.08
  4. Step 4: Simplify right side
    2,193.60x = 6,231,518.41
  5. Step 5: Solve for x
    x = 6,231,518.41/2,193.60
  6. Step 6: Final answer
    x = 2,840.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.