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Finding the Fourth Proportional to 1,432.21, 2,146.52 and 774.06

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Solution

The fourth proportional to 1,432.21, 2,146.52 and 774.06 is: 1,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.21 : 2,146.52 = 774.06 : x
  2. Step 2: Convert to fraction form
    1,432.21/2,146.52 = 774.06/x
  3. Step 3: Cross multiply
    1,432.21x = 2,146.52 × 774.06
  4. Step 4: Simplify right side
    1,432.21x = 1,661,535.27
  5. Step 5: Solve for x
    x = 1,661,535.27/1,432.21
  6. Step 6: Final answer
    x = 1,160.12

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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.