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Finding the Fourth Proportional to 1,784.76, 2,472.93 and 1,744.44

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Solution

The fourth proportional to 1,784.76, 2,472.93 and 1,744.44 is: 2,417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.76 : 2,472.93 = 1,744.44 : x
  2. Step 2: Convert to fraction form
    1,784.76/2,472.93 = 1,744.44/x
  3. Step 3: Cross multiply
    1,784.76x = 2,472.93 × 1,744.44
  4. Step 4: Simplify right side
    1,784.76x = 4,313,878.01
  5. Step 5: Solve for x
    x = 4,313,878.01/1,784.76
  6. Step 6: Final answer
    x = 2,417.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.