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Finding the Fourth Proportional to 1,786.04, 2,457.40 and 1,744.60

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Solution

The fourth proportional to 1,786.04, 2,457.40 and 1,744.60 is: 2,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.04 : 2,457.40 = 1,744.60 : x
  2. Step 2: Convert to fraction form
    1,786.04/2,457.40 = 1,744.60/x
  3. Step 3: Cross multiply
    1,786.04x = 2,457.40 × 1,744.60
  4. Step 4: Simplify right side
    1,786.04x = 4,287,180.04
  5. Step 5: Solve for x
    x = 4,287,180.04/1,786.04
  6. Step 6: Final answer
    x = 2,400.38

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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.