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Finding the Fourth Proportional to 3,146.58, 4,342.46 and 1,749.33

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Solution

The fourth proportional to 3,146.58, 4,342.46 and 1,749.33 is: 2,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.58 : 4,342.46 = 1,749.33 : x
  2. Step 2: Convert to fraction form
    3,146.58/4,342.46 = 1,749.33/x
  3. Step 3: Cross multiply
    3,146.58x = 4,342.46 × 1,749.33
  4. Step 4: Simplify right side
    3,146.58x = 7,596,386.81
  5. Step 5: Solve for x
    x = 7,596,386.81/3,146.58
  6. Step 6: Final answer
    x = 2,414.17

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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.