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Finding the Fourth Proportional to 2,460.12, 3,688.99 and 816.13

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Solution

The fourth proportional to 2,460.12, 3,688.99 and 816.13 is: 1,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.12 : 3,688.99 = 816.13 : x
  2. Step 2: Convert to fraction form
    2,460.12/3,688.99 = 816.13/x
  3. Step 3: Cross multiply
    2,460.12x = 3,688.99 × 816.13
  4. Step 4: Simplify right side
    2,460.12x = 3,010,681.82
  5. Step 5: Solve for x
    x = 3,010,681.82/2,460.12
  6. Step 6: Final answer
    x = 1,223.79

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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.