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Finding the Fourth Proportional to 2,549.19, 3,822.53 and 905.51

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Solution

The fourth proportional to 2,549.19, 3,822.53 and 905.51 is: 1,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.19 : 3,822.53 = 905.51 : x
  2. Step 2: Convert to fraction form
    2,549.19/3,822.53 = 905.51/x
  3. Step 3: Cross multiply
    2,549.19x = 3,822.53 × 905.51
  4. Step 4: Simplify right side
    2,549.19x = 3,461,315.50
  5. Step 5: Solve for x
    x = 3,461,315.50/2,549.19
  6. Step 6: Final answer
    x = 1,357.81

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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.