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Finding the Fourth Proportional to 1,634.67, 2,448.41 and 1,506.64

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Solution

The fourth proportional to 1,634.67, 2,448.41 and 1,506.64 is: 2,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.67 : 2,448.41 = 1,506.64 : x
  2. Step 2: Convert to fraction form
    1,634.67/2,448.41 = 1,506.64/x
  3. Step 3: Cross multiply
    1,634.67x = 2,448.41 × 1,506.64
  4. Step 4: Simplify right side
    1,634.67x = 3,688,874.77
  5. Step 5: Solve for x
    x = 3,688,874.77/1,634.67
  6. Step 6: Final answer
    x = 2,256.65

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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.