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Finding the Fourth Proportional to 2,153.04, 2,969.16 and 1,446.48

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Solution

The fourth proportional to 2,153.04, 2,969.16 and 1,446.48 is: 1,994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.04 : 2,969.16 = 1,446.48 : x
  2. Step 2: Convert to fraction form
    2,153.04/2,969.16 = 1,446.48/x
  3. Step 3: Cross multiply
    2,153.04x = 2,969.16 × 1,446.48
  4. Step 4: Simplify right side
    2,153.04x = 4,294,830.56
  5. Step 5: Solve for x
    x = 4,294,830.56/2,153.04
  6. Step 6: Final answer
    x = 1,994.78

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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.