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Finding the Fourth Proportional to 2,908.40, 4,013.64 and 1,729.46

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Solution

The fourth proportional to 2,908.40, 4,013.64 and 1,729.46 is: 2,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.40 : 4,013.64 = 1,729.46 : x
  2. Step 2: Convert to fraction form
    2,908.40/4,013.64 = 1,729.46/x
  3. Step 3: Cross multiply
    2,908.40x = 4,013.64 × 1,729.46
  4. Step 4: Simplify right side
    2,908.40x = 6,941,409.77
  5. Step 5: Solve for x
    x = 6,941,409.77/2,908.40
  6. Step 6: Final answer
    x = 2,386.68

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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.