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Finding the Fourth Proportional to 2,460.16, 3,688.96 and 998.48

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Solution

The fourth proportional to 2,460.16, 3,688.96 and 998.48 is: 1,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.16 : 3,688.96 = 998.48 : x
  2. Step 2: Convert to fraction form
    2,460.16/3,688.96 = 998.48/x
  3. Step 3: Cross multiply
    2,460.16x = 3,688.96 × 998.48
  4. Step 4: Simplify right side
    2,460.16x = 3,683,352.78
  5. Step 5: Solve for x
    x = 3,683,352.78/2,460.16
  6. Step 6: Final answer
    x = 1,497.20

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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.