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Finding the Fourth Proportional to 2,461.69, 3,386.10 and 1,986.63

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Solution

The fourth proportional to 2,461.69, 3,386.10 and 1,986.63 is: 2,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.69 : 3,386.10 = 1,986.63 : x
  2. Step 2: Convert to fraction form
    2,461.69/3,386.10 = 1,986.63/x
  3. Step 3: Cross multiply
    2,461.69x = 3,386.10 × 1,986.63
  4. Step 4: Simplify right side
    2,461.69x = 6,726,927.84
  5. Step 5: Solve for x
    x = 6,726,927.84/2,461.69
  6. Step 6: Final answer
    x = 2,732.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.