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Finding the Fourth Proportional to 3,043.70, 4,559.70 and 2,341.70

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Solution

The fourth proportional to 3,043.70, 4,559.70 and 2,341.70 is: 3,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.70 : 4,559.70 = 2,341.70 : x
  2. Step 2: Convert to fraction form
    3,043.70/4,559.70 = 2,341.70/x
  3. Step 3: Cross multiply
    3,043.70x = 4,559.70 × 2,341.70
  4. Step 4: Simplify right side
    3,043.70x = 10,677,449.49
  5. Step 5: Solve for x
    x = 10,677,449.49/3,043.70
  6. Step 6: Final answer
    x = 3,508.05

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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.