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Finding the Fourth Proportional to 2,656.98, 3,668.22 and 1,713.06

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Solution

The fourth proportional to 2,656.98, 3,668.22 and 1,713.06 is: 2,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.98 : 3,668.22 = 1,713.06 : x
  2. Step 2: Convert to fraction form
    2,656.98/3,668.22 = 1,713.06/x
  3. Step 3: Cross multiply
    2,656.98x = 3,668.22 × 1,713.06
  4. Step 4: Simplify right side
    2,656.98x = 6,283,880.95
  5. Step 5: Solve for x
    x = 6,283,880.95/2,656.98
  6. Step 6: Final answer
    x = 2,365.05

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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.