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Finding the Fourth Proportional to 1,435.92, 1,981.92 and 965.14

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Solution

The fourth proportional to 1,435.92, 1,981.92 and 965.14 is: 1,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.92 : 1,981.92 = 965.14 : x
  2. Step 2: Convert to fraction form
    1,435.92/1,981.92 = 965.14/x
  3. Step 3: Cross multiply
    1,435.92x = 1,981.92 × 965.14
  4. Step 4: Simplify right side
    1,435.92x = 1,912,830.27
  5. Step 5: Solve for x
    x = 1,912,830.27/1,435.92
  6. Step 6: Final answer
    x = 1,332.13

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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.