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Finding the Fourth Proportional to 2,559.36, 3,842.69 and 2,442.72

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Solution

The fourth proportional to 2,559.36, 3,842.69 and 2,442.72 is: 3,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.36 : 3,842.69 = 2,442.72 : x
  2. Step 2: Convert to fraction form
    2,559.36/3,842.69 = 2,442.72/x
  3. Step 3: Cross multiply
    2,559.36x = 3,842.69 × 2,442.72
  4. Step 4: Simplify right side
    2,559.36x = 9,386,603.50
  5. Step 5: Solve for x
    x = 9,386,603.50/2,559.36
  6. Step 6: Final answer
    x = 3,667.56

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Why These Related Problems?

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