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Finding the Fourth Proportional to 1,435.97, 2,153.38 and 852.16

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Solution

The fourth proportional to 1,435.97, 2,153.38 and 852.16 is: 1,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.97 : 2,153.38 = 852.16 : x
  2. Step 2: Convert to fraction form
    1,435.97/2,153.38 = 852.16/x
  3. Step 3: Cross multiply
    1,435.97x = 2,153.38 × 852.16
  4. Step 4: Simplify right side
    1,435.97x = 1,835,024.30
  5. Step 5: Solve for x
    x = 1,835,024.30/1,435.97
  6. Step 6: Final answer
    x = 1,277.90

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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.