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Finding the Fourth Proportional to 2,722.95, 3,758.13 and 1,544.00

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Solution

The fourth proportional to 2,722.95, 3,758.13 and 1,544.00 is: 2,130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.95 : 3,758.13 = 1,544.00 : x
  2. Step 2: Convert to fraction form
    2,722.95/3,758.13 = 1,544.00/x
  3. Step 3: Cross multiply
    2,722.95x = 3,758.13 × 1,544.00
  4. Step 4: Simplify right side
    2,722.95x = 5,802,533.93
  5. Step 5: Solve for x
    x = 5,802,533.93/2,722.95
  6. Step 6: Final answer
    x = 2,130.97

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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.