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Finding the Fourth Proportional to 2,558.79, 3,840.01 and 1,911.20

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Solution

The fourth proportional to 2,558.79, 3,840.01 and 1,911.20 is: 2,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.79 : 3,840.01 = 1,911.20 : x
  2. Step 2: Convert to fraction form
    2,558.79/3,840.01 = 1,911.20/x
  3. Step 3: Cross multiply
    2,558.79x = 3,840.01 × 1,911.20
  4. Step 4: Simplify right side
    2,558.79x = 7,339,003.13
  5. Step 5: Solve for x
    x = 7,339,003.13/2,558.79
  6. Step 6: Final answer
    x = 2,868.15

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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.