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Finding the Fourth Proportional to 2,394.46, 3,303.36 and 1,729.84

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Solution

The fourth proportional to 2,394.46, 3,303.36 and 1,729.84 is: 2,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.46 : 3,303.36 = 1,729.84 : x
  2. Step 2: Convert to fraction form
    2,394.46/3,303.36 = 1,729.84/x
  3. Step 3: Cross multiply
    2,394.46x = 3,303.36 × 1,729.84
  4. Step 4: Simplify right side
    2,394.46x = 5,714,284.26
  5. Step 5: Solve for x
    x = 5,714,284.26/2,394.46
  6. Step 6: Final answer
    x = 2,386.46

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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.