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Finding the Fourth Proportional to 2,019.51, 2,783.50 and 1,540.80

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Solution

The fourth proportional to 2,019.51, 2,783.50 and 1,540.80 is: 2,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.51 : 2,783.50 = 1,540.80 : x
  2. Step 2: Convert to fraction form
    2,019.51/2,783.50 = 1,540.80/x
  3. Step 3: Cross multiply
    2,019.51x = 2,783.50 × 1,540.80
  4. Step 4: Simplify right side
    2,019.51x = 4,288,812.95
  5. Step 5: Solve for x
    x = 4,288,812.95/2,019.51
  6. Step 6: Final answer
    x = 2,123.69

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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.