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Finding the Fourth Proportional to 2,386.59, 3,290.10 and 1,966.29

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Solution

The fourth proportional to 2,386.59, 3,290.10 and 1,966.29 is: 2,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.59 : 3,290.10 = 1,966.29 : x
  2. Step 2: Convert to fraction form
    2,386.59/3,290.10 = 1,966.29/x
  3. Step 3: Cross multiply
    2,386.59x = 3,290.10 × 1,966.29
  4. Step 4: Simplify right side
    2,386.59x = 6,469,290.73
  5. Step 5: Solve for x
    x = 6,469,290.73/2,386.59
  6. Step 6: Final answer
    x = 2,710.68

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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.