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Finding the Fourth Proportional to 2,461.58, 3,683.01 and 1,366.82

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Solution

The fourth proportional to 2,461.58, 3,683.01 and 1,366.82 is: 2,045.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.58 : 3,683.01 = 1,366.82 : x
  2. Step 2: Convert to fraction form
    2,461.58/3,683.01 = 1,366.82/x
  3. Step 3: Cross multiply
    2,461.58x = 3,683.01 × 1,366.82
  4. Step 4: Simplify right side
    2,461.58x = 5,034,011.73
  5. Step 5: Solve for x
    x = 5,034,011.73/2,461.58
  6. Step 6: Final answer
    x = 2,045.03

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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.