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Finding the Fourth Proportional to 1,729.50, 2,386.64 and 983.57

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Solution

The fourth proportional to 1,729.50, 2,386.64 and 983.57 is: 1,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.50 : 2,386.64 = 983.57 : x
  2. Step 2: Convert to fraction form
    1,729.50/2,386.64 = 983.57/x
  3. Step 3: Cross multiply
    1,729.50x = 2,386.64 × 983.57
  4. Step 4: Simplify right side
    1,729.50x = 2,347,410.65
  5. Step 5: Solve for x
    x = 2,347,410.65/1,729.50
  6. Step 6: Final answer
    x = 1,357.28

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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.