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Finding the Fourth Proportional to 1,925.81, 2,884.08 and 1,101.59

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Solution

The fourth proportional to 1,925.81, 2,884.08 and 1,101.59 is: 1,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.81 : 2,884.08 = 1,101.59 : x
  2. Step 2: Convert to fraction form
    1,925.81/2,884.08 = 1,101.59/x
  3. Step 3: Cross multiply
    1,925.81x = 2,884.08 × 1,101.59
  4. Step 4: Simplify right side
    1,925.81x = 3,177,073.69
  5. Step 5: Solve for x
    x = 3,177,073.69/1,925.81
  6. Step 6: Final answer
    x = 1,649.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.