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Finding the Fourth Proportional to 4,626.80, 6,934.04 and 1,702.40

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Solution

The fourth proportional to 4,626.80, 6,934.04 and 1,702.40 is: 2,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.80 : 6,934.04 = 1,702.40 : x
  2. Step 2: Convert to fraction form
    4,626.80/6,934.04 = 1,702.40/x
  3. Step 3: Cross multiply
    4,626.80x = 6,934.04 × 1,702.40
  4. Step 4: Simplify right side
    4,626.80x = 11,804,509.70
  5. Step 5: Solve for x
    x = 11,804,509.70/4,626.80
  6. Step 6: Final answer
    x = 2,551.33

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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.