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Finding the Fourth Proportional to 2,303.70, 3,454.34 and 1,004.46

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Solution

The fourth proportional to 2,303.70, 3,454.34 and 1,004.46 is: 1,506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.70 : 3,454.34 = 1,004.46 : x
  2. Step 2: Convert to fraction form
    2,303.70/3,454.34 = 1,004.46/x
  3. Step 3: Cross multiply
    2,303.70x = 3,454.34 × 1,004.46
  4. Step 4: Simplify right side
    2,303.70x = 3,469,749.69
  5. Step 5: Solve for x
    x = 3,469,749.69/2,303.70
  6. Step 6: Final answer
    x = 1,506.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.