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Finding the Fourth Proportional to 2,051.84, 3,077.78 and 591.03

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Solution

The fourth proportional to 2,051.84, 3,077.78 and 591.03 is: 886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.84 : 3,077.78 = 591.03 : x
  2. Step 2: Convert to fraction form
    2,051.84/3,077.78 = 591.03/x
  3. Step 3: Cross multiply
    2,051.84x = 3,077.78 × 591.03
  4. Step 4: Simplify right side
    2,051.84x = 1,819,057.36
  5. Step 5: Solve for x
    x = 1,819,057.36/2,051.84
  6. Step 6: Final answer
    x = 886.55

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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.