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Finding the Fourth Proportional to 2,303.70, 3,454.68 and 743.31

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Solution

The fourth proportional to 2,303.70, 3,454.68 and 743.31 is: 1,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.70 : 3,454.68 = 743.31 : x
  2. Step 2: Convert to fraction form
    2,303.70/3,454.68 = 743.31/x
  3. Step 3: Cross multiply
    2,303.70x = 3,454.68 × 743.31
  4. Step 4: Simplify right side
    2,303.70x = 2,567,898.19
  5. Step 5: Solve for x
    x = 2,567,898.19/2,303.70
  6. Step 6: Final answer
    x = 1,114.68

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Why These Related Problems?

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