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Finding the Fourth Proportional to 1,473.68, 2,035.48 and 1,102.31

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Solution

The fourth proportional to 1,473.68, 2,035.48 and 1,102.31 is: 1,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.68 : 2,035.48 = 1,102.31 : x
  2. Step 2: Convert to fraction form
    1,473.68/2,035.48 = 1,102.31/x
  3. Step 3: Cross multiply
    1,473.68x = 2,035.48 × 1,102.31
  4. Step 4: Simplify right side
    1,473.68x = 2,243,729.96
  5. Step 5: Solve for x
    x = 2,243,729.96/1,473.68
  6. Step 6: Final answer
    x = 1,522.54

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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.