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Finding the Fourth Proportional to 1,435.29, 1,981.51 and 938.44

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Solution

The fourth proportional to 1,435.29, 1,981.51 and 938.44 is: 1,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.29 : 1,981.51 = 938.44 : x
  2. Step 2: Convert to fraction form
    1,435.29/1,981.51 = 938.44/x
  3. Step 3: Cross multiply
    1,435.29x = 1,981.51 × 938.44
  4. Step 4: Simplify right side
    1,435.29x = 1,859,522.51
  5. Step 5: Solve for x
    x = 1,859,522.51/1,435.29
  6. Step 6: Final answer
    x = 1,295.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.