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Finding the Fourth Proportional to 2,701.33, 4,052.20 and 946.14

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Solution

The fourth proportional to 2,701.33, 4,052.20 and 946.14 is: 1,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.33 : 4,052.20 = 946.14 : x
  2. Step 2: Convert to fraction form
    2,701.33/4,052.20 = 946.14/x
  3. Step 3: Cross multiply
    2,701.33x = 4,052.20 × 946.14
  4. Step 4: Simplify right side
    2,701.33x = 3,833,948.51
  5. Step 5: Solve for x
    x = 3,833,948.51/2,701.33
  6. Step 6: Final answer
    x = 1,419.28

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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.