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Finding the Fourth Proportional to 2,270.58, 3,407.08 and 971.94

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Solution

The fourth proportional to 2,270.58, 3,407.08 and 971.94 is: 1,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.58 : 3,407.08 = 971.94 : x
  2. Step 2: Convert to fraction form
    2,270.58/3,407.08 = 971.94/x
  3. Step 3: Cross multiply
    2,270.58x = 3,407.08 × 971.94
  4. Step 4: Simplify right side
    2,270.58x = 3,311,477.34
  5. Step 5: Solve for x
    x = 3,311,477.34/2,270.58
  6. Step 6: Final answer
    x = 1,458.43

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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.