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Finding the Fourth Proportional to 2,341.44, 3,506.94 and 1,471.50

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Solution

The fourth proportional to 2,341.44, 3,506.94 and 1,471.50 is: 2,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.44 : 3,506.94 = 1,471.50 : x
  2. Step 2: Convert to fraction form
    2,341.44/3,506.94 = 1,471.50/x
  3. Step 3: Cross multiply
    2,341.44x = 3,506.94 × 1,471.50
  4. Step 4: Simplify right side
    2,341.44x = 5,160,462.21
  5. Step 5: Solve for x
    x = 5,160,462.21/2,341.44
  6. Step 6: Final answer
    x = 2,203.97

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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.