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Finding the Fourth Proportional to 2,303.45, 3,455.52 and 742.94

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Solution

The fourth proportional to 2,303.45, 3,455.52 and 742.94 is: 1,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.45 : 3,455.52 = 742.94 : x
  2. Step 2: Convert to fraction form
    2,303.45/3,455.52 = 742.94/x
  3. Step 3: Cross multiply
    2,303.45x = 3,455.52 × 742.94
  4. Step 4: Simplify right side
    2,303.45x = 2,567,223.04
  5. Step 5: Solve for x
    x = 2,567,223.04/2,303.45
  6. Step 6: Final answer
    x = 1,114.51

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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.