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Finding the Fourth Proportional to 2,295.46, 3,443.10 and 735.40

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Solution

The fourth proportional to 2,295.46, 3,443.10 and 735.40 is: 1,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.46 : 3,443.10 = 735.40 : x
  2. Step 2: Convert to fraction form
    2,295.46/3,443.10 = 735.40/x
  3. Step 3: Cross multiply
    2,295.46x = 3,443.10 × 735.40
  4. Step 4: Simplify right side
    2,295.46x = 2,532,055.74
  5. Step 5: Solve for x
    x = 2,532,055.74/2,295.46
  6. Step 6: Final answer
    x = 1,103.07

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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.