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Finding the Fourth Proportional to 2,153.84, 2,974.04 and 1,755.56

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Solution

The fourth proportional to 2,153.84, 2,974.04 and 1,755.56 is: 2,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.84 : 2,974.04 = 1,755.56 : x
  2. Step 2: Convert to fraction form
    2,153.84/2,974.04 = 1,755.56/x
  3. Step 3: Cross multiply
    2,153.84x = 2,974.04 × 1,755.56
  4. Step 4: Simplify right side
    2,153.84x = 5,221,090.79
  5. Step 5: Solve for x
    x = 5,221,090.79/2,153.84
  6. Step 6: Final answer
    x = 2,424.09

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1.5x scale

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.