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Finding the Fourth Proportional to 2,427.90, 3,407.70 and 2,427.90

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Solution

The fourth proportional to 2,427.90, 3,407.70 and 2,427.90 is: 3,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.90 : 3,407.70 = 2,427.90 : x
  2. Step 2: Convert to fraction form
    2,427.90/3,407.70 = 2,427.90/x
  3. Step 3: Cross multiply
    2,427.90x = 3,407.70 × 2,427.90
  4. Step 4: Simplify right side
    2,427.90x = 8,273,554.83
  5. Step 5: Solve for x
    x = 8,273,554.83/2,427.90
  6. Step 6: Final answer
    x = 3,407.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.