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Finding the Fourth Proportional to 2,461.21, 3,688.62 and 999.57

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Solution

The fourth proportional to 2,461.21, 3,688.62 and 999.57 is: 1,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.21 : 3,688.62 = 999.57 : x
  2. Step 2: Convert to fraction form
    2,461.21/3,688.62 = 999.57/x
  3. Step 3: Cross multiply
    2,461.21x = 3,688.62 × 999.57
  4. Step 4: Simplify right side
    2,461.21x = 3,687,033.89
  5. Step 5: Solve for x
    x = 3,687,033.89/2,461.21
  6. Step 6: Final answer
    x = 1,498.06

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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.