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Finding the Fourth Proportional to 2,612.64, 3,605.40 and 1,729.07

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Solution

The fourth proportional to 2,612.64, 3,605.40 and 1,729.07 is: 2,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.64 : 3,605.40 = 1,729.07 : x
  2. Step 2: Convert to fraction form
    2,612.64/3,605.40 = 1,729.07/x
  3. Step 3: Cross multiply
    2,612.64x = 3,605.40 × 1,729.07
  4. Step 4: Simplify right side
    2,612.64x = 6,233,988.98
  5. Step 5: Solve for x
    x = 6,233,988.98/2,612.64
  6. Step 6: Final answer
    x = 2,386.09

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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.