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Finding the Fourth Proportional to 2,460.33, 3,690.63 and 816.89

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Solution

The fourth proportional to 2,460.33, 3,690.63 and 816.89 is: 1,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.33 : 3,690.63 = 816.89 : x
  2. Step 2: Convert to fraction form
    2,460.33/3,690.63 = 816.89/x
  3. Step 3: Cross multiply
    2,460.33x = 3,690.63 × 816.89
  4. Step 4: Simplify right side
    2,460.33x = 3,014,820.29
  5. Step 5: Solve for x
    x = 3,014,820.29/2,460.33
  6. Step 6: Final answer
    x = 1,225.37

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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.