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Finding the Fourth Proportional to 2,206.71, 3,043.40 and 1,708.47

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Solution

The fourth proportional to 2,206.71, 3,043.40 and 1,708.47 is: 2,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.71 : 3,043.40 = 1,708.47 : x
  2. Step 2: Convert to fraction form
    2,206.71/3,043.40 = 1,708.47/x
  3. Step 3: Cross multiply
    2,206.71x = 3,043.40 × 1,708.47
  4. Step 4: Simplify right side
    2,206.71x = 5,199,549.06
  5. Step 5: Solve for x
    x = 5,199,549.06/2,206.71
  6. Step 6: Final answer
    x = 2,356.24

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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.