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Finding the Fourth Proportional to 2,103.81, 2,900.75 and 1,544.07

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Solution

The fourth proportional to 2,103.81, 2,900.75 and 1,544.07 is: 2,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.81 : 2,900.75 = 1,544.07 : x
  2. Step 2: Convert to fraction form
    2,103.81/2,900.75 = 1,544.07/x
  3. Step 3: Cross multiply
    2,103.81x = 2,900.75 × 1,544.07
  4. Step 4: Simplify right side
    2,103.81x = 4,478,953.33
  5. Step 5: Solve for x
    x = 4,478,953.33/2,103.81
  6. Step 6: Final answer
    x = 2,128.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.