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Finding the Fourth Proportional to 2,421, 3,625.76 and 1,540.36

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Solution

The fourth proportional to 2,421, 3,625.76 and 1,540.36 is: 2,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421 : 3,625.76 = 1,540.36 : x
  2. Step 2: Convert to fraction form
    2,421/3,625.76 = 1,540.36/x
  3. Step 3: Cross multiply
    2,421x = 3,625.76 × 1,540.36
  4. Step 4: Simplify right side
    2,421x = 5,584,975.67
  5. Step 5: Solve for x
    x = 5,584,975.67/2,421
  6. Step 6: Final answer
    x = 2,306.89

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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.