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Finding the Fourth Proportional to 1,729.55, 2,386.78 and 983.66

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Solution

The fourth proportional to 1,729.55, 2,386.78 and 983.66 is: 1,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.55 : 2,386.78 = 983.66 : x
  2. Step 2: Convert to fraction form
    1,729.55/2,386.78 = 983.66/x
  3. Step 3: Cross multiply
    1,729.55x = 2,386.78 × 983.66
  4. Step 4: Simplify right side
    1,729.55x = 2,347,780.01
  5. Step 5: Solve for x
    x = 2,347,780.01/1,729.55
  6. Step 6: Final answer
    x = 1,357.46

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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.