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Finding the Fourth Proportional to 1,521.60, 2,096.74 and 1,101.22

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Solution

The fourth proportional to 1,521.60, 2,096.74 and 1,101.22 is: 1,517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.60 : 2,096.74 = 1,101.22 : x
  2. Step 2: Convert to fraction form
    1,521.60/2,096.74 = 1,101.22/x
  3. Step 3: Cross multiply
    1,521.60x = 2,096.74 × 1,101.22
  4. Step 4: Simplify right side
    1,521.60x = 2,308,972.02
  5. Step 5: Solve for x
    x = 2,308,972.02/1,521.60
  6. Step 6: Final answer
    x = 1,517.46

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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.