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Finding the Fourth Proportional to 2,461.25, 3,688.70 and 998.71

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Solution

The fourth proportional to 2,461.25, 3,688.70 and 998.71 is: 1,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.25 : 3,688.70 = 998.71 : x
  2. Step 2: Convert to fraction form
    2,461.25/3,688.70 = 998.71/x
  3. Step 3: Cross multiply
    2,461.25x = 3,688.70 × 998.71
  4. Step 4: Simplify right side
    2,461.25x = 3,683,927.36
  5. Step 5: Solve for x
    x = 3,683,927.36/2,461.25
  6. Step 6: Final answer
    x = 1,496.77

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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.