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Finding the Fourth Proportional to 2,435.43, 3,652.13 and 934.21

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Solution

The fourth proportional to 2,435.43, 3,652.13 and 934.21 is: 1,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.43 : 3,652.13 = 934.21 : x
  2. Step 2: Convert to fraction form
    2,435.43/3,652.13 = 934.21/x
  3. Step 3: Cross multiply
    2,435.43x = 3,652.13 × 934.21
  4. Step 4: Simplify right side
    2,435.43x = 3,411,863.27
  5. Step 5: Solve for x
    x = 3,411,863.27/2,435.43
  6. Step 6: Final answer
    x = 1,400.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.