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Finding the Fourth Proportional to 2,702.40, 4,048.40 and 2,078.40

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Solution

The fourth proportional to 2,702.40, 4,048.40 and 2,078.40 is: 3,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.40 : 4,048.40 = 2,078.40 : x
  2. Step 2: Convert to fraction form
    2,702.40/4,048.40 = 2,078.40/x
  3. Step 3: Cross multiply
    2,702.40x = 4,048.40 × 2,078.40
  4. Step 4: Simplify right side
    2,702.40x = 8,414,194.56
  5. Step 5: Solve for x
    x = 8,414,194.56/2,702.40
  6. Step 6: Final answer
    x = 3,113.60

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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.